Properties of the Number 21627

Twenty-One Thousand Six Hundred Twenty-Seven

Basics

Value: 21626 → 21627 → 21628

Parity: odd

Prime: No

Previous Prime: 21617

Next Prime: 21647

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 89

Divisors: 1, 3, 9, 27, 81, 89, 243, 267, 801, 2403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010001111011

Octal: 52173

Duodecimal: 10623

Hexadecimal: 547b

Square: 467727129

Square Root: 147.06121174531373

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers·such that the sum of all their cyclic permutations is equal to that of all cyclic permutations of σ(x) and all cyclic permutations of Euler totient function φ(x). A247317

Row sums of A154685. A151675

Terms of A046337 for which A358777 is zero, where the latter is the Dirichlet inverse of former's characteristic function. A359607

Antidiagonal sums of triangle A092422, which is generated from the even-numbered Fibonacci polynomials (A011973). A92424

Expansion of -(2·x*sqrt(1-8·x²)-2·x) / (16·x³+sqrt(1-8·x²)*(4·x²+2·x-1)-8·x²-2·x+1). A243019

a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1. A25005

Numbers n such that n | 8ⁿ + 7ⁿ + 6ⁿ + 5ⁿ + 4ⁿ + 3ⁿ + 2ⁿ + 1ⁿ. A56751

Numbers n such that n | 9ⁿ + 8ⁿ + 1. A57296

O.g.f. A(x) satisfies: 0 = [xⁿ] exp( n² * Integral A(x)³ dx ) / A(x), for n > 0. A305141

Trajectory of the "Erase or triple" protocol applied to 1 (see Comments section for how the protocol works). A300148