The digital root (also repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing...

In number theory, the multiplicative digital root of a natural number n {\displaystyle n} in a given number base b {\displaystyle b} is found by multiplying...

by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every...

decimal digital root of any non-zero integer will be a number in the range 1 to 9, whereas the digit sum can take any value. Digit sums and digital roots...

number is called the "digital root" of the original. If a number is divisible by 9, its digital root is 9. Otherwise, its digital root is the remainder it...

84001 in base 10 the digit sum would be 8 + 4 + 0 + 0 + 1 = 13. The digital root - repeatedly apply the digit sum operation to the representation of a...

perfect cubes must have digital root 1, 8 or 9. That is their values modulo 9 may be only 0, 1, and 8. Moreover, the digital root of any number's cube can...

until a single digit (called the digital root) is obtained, always produces the number 1. For example, the digital root of 8128 is 1, because 8 + 1 + 2...

Look up root or roots in Wiktionary, the free dictionary. A root is the part of a plant, generally underground, that anchors the plant body, and absorbs...

Rooting is the process by which users of Android devices can attain privileged control (known as root access) over various subsystems of the device, usually...

was followed by four expansions. A digital version, developed by Dire Wolf Digital, was released in 2020. In Root, 2-4 players compete in an asymmetric...

make use of the representation of a number as a sequence of digits. The digital root is the single-digit number obtained by summing the digits of a given...

Like a triangular number, the digital root in base 10 of a hexagonal number can only be 1, 3, 6, or 9. The digital root pattern, repeating every nine...

typical 9 × 9 multiplication table where the entry in each cell is the digital root of the product of the column and row headings i.e. the remainder when...

→ 0 c ( x ) = 1 {\displaystyle C_{0}=\lim _{x\to 0}c(x)=1} . The square root term can be expanded as a power series using the binomial series 1 − 1 −...

the real numbers add all infinite decimals. Complex numbers add the square root of −1. This chain of extensions canonically embeds the natural numbers in...

10333, 10837, 11353, and 11881. (sequence A003154 in the OEIS) The digital root of a star number is always 1 or 4, and progresses in the sequence 1,...

a square each side of which has the same number of points as the square root of n; thus, square numbers are a type of figurate numbers (other examples...

numbers follows the pattern odd-odd-even-even. Like square numbers, the digital root in base 10 of a heptagonal number can only be 1, 4, 7 or 9. Five times...

is its digital root. Put another way, a number's additive persistence counts how many times we must sum its digits to arrive at its digital root. The additive...

main Rockerverb setup, Root began using a Neural DSP Quad Cortex in 2024, despite previously saying he would never use digital amplifier modelers. Atomic...

specifically, this sequence is the set of primes p such that b is a primitive root modulo p. A conjecture of Emil Artin is that this sequence contains 37.395...

In number theory, a narcissistic number (also known as a pluperfect digital invariant (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus...

perfect number. It is also the only perfect number that doesn't have a digital root of 1. 6 is the first unitary perfect number, since it is the sum of its...

{\displaystyle b} that eventually reaches 1 when iterated over the perfect digital invariant function for p = 2 {\displaystyle p=2} . The origin of happy...

which is a power of two and much smaller. Power of 10 Power of two Square root of 3 Ranucci, Ernest R. (December 1968), "Tantalizing ternary", The Arithmetic...

4.[dubious – discuss] By analogy with the cube root of x, one can define the (real) tetrahedral root of x as the number n such that Ten = x: n = 3 x...

number whose cube is a palindrome is 2201, and it is a conjecture the fourth root of all the palindrome fourth powers are a palindrome with 100000...000001...

Digit sum Digit sum Digital root Self Sum-product Digit product Multiplicative digital root Sum-product Coding-related Meertens Other Dudeney Factorion...

\displaystyle N_{k}=s_{k}^{2}={\frac {t_{k}(t_{k}+1)}{2}}.} Define the triangular root of a triangular number N = n ( n + 1 ) 2 {\displaystyle N={\tfrac {n(n+1)}{2}}}...