In number theory, a Dudeney number in a given number base b {\displaystyle b} is a natural number equal to the perfect cube of another natural number such...

Henry Ernest Dudeney (10 April 1857 – 23 April 1930) was an English author and mathematician who specialised in logic puzzles and mathematical games....

Leyland number using 4 & 4 (44 + 44) a Dudeney number. a Harshad number palindromic in bases 7 (13317) and 15 (24215) a vertically symmetric number (sequence...

eleventh Leyland number. It is also the third Dudeney number. It is a self number in base 12. It is a harshad number in decimal. It is the cube of the sum of...

English writer, wife of Henry Henry Dudeney (1857–1930), English writer and mathematician Dudeney number Leonard Dudeney (1875–1956), English newspaper editor...

integer. Arithmetic dynamics Dudeney number Factorion Happy number Kaprekar's constant Kaprekar number Meertens number Perfect digit-to-digit invariant...

{\displaystyle b} . Arithmetic dynamics Dudeney number Factorion Happy number Kaprekar's constant Kaprekar number Narcissistic number Perfect digit-to-digit invariant...

Arithmetic dynamics Dudeney number Factorion Happy number Kaprekar's constant Kaprekar number Meertens number Narcissistic number Perfect digit-to-digit...

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that...

Integer Sequences. OEIS Foundation. Retrieved 3 February 2024. Henry E. Dudeney (1917). Amusements in Mathematics (PDF). London: Thomas Nelson & Sons,...

of Integer Sequences. OEIS Foundation. Retrieved 2024-03-25. Henry E. Dudeney (1917). Amusements in Mathematics (PDF). London: Thomas Nelson & Sons,...

Arithmetic dynamics Automorphic number Dudeney number Factorion Happy number Kaprekar's constant Meertens number Narcissistic number Perfect digit-to-digit invariant...

month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive...

Arithmetic dynamics Dudeney number Factorion Happy number Kaprekar's constant Kaprekar number Meertens number Narcissistic number Perfect digital invariant...

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly it is a positive integer that has...

In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number...

the number 1 differently than larger numbers, sometimes even not as a number at all. Euclid, for example, defined a unit first and then a number as a...

Dictionary editor Sir James Murray on behalf of a number of Chinese scholars to the prominent puzzlist Henry Dudeney reads "The result has been to show that the...

In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is...

triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...

In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance...

In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and...

mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer...

In number theory, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition...

In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon: 2-3 . These are one type of 2-dimensional figurate...

Arithmetic dynamics Collatz conjecture Dudeney number Factorion Happy number Kaprekar number Meertens number Narcissistic number Perfect digit-to-digit invariant...

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with...

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the...

A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16361) that remains the same when its digits are...

In number theory, a Sierpiński number is an odd natural number k such that k × 2 n + 1 {\displaystyle k\times 2^{n}+1} is composite for all natural numbers...