Properties of the Number 42647

Forty-Two Thousand Six Hundred Forty-Seven

Basics

Value: 42646 → 42647 → 42648

Parity: odd

Prime: No

Previous Prime: 42643

Next Prime: 42649

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 11 × 3877

Divisors: 1, 11, 3877, 42647

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011010010111

Octal: 123227

Duodecimal: 2081B

Hexadecimal: a697

Square: 1818766609

Square Root: 206.51150089038626

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order. A252910

Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 9). A212368

Consecutive internal states of the linear congruential pseudo-random number generator (321·s + 123) mod 10⁵ when started at 1. A383128

Number of (n+2)X(2+2) 0..3 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order. A252906

Number of (n+2)X(3+2) 0..3 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order. A252907

Records in A361321. A361325

Expansion of (x/(8 * (1-x))) * d/dx(theta₃(x)⁴). A374535

Numbers n such that the sum of the squares of the digits of nⁿ is a square. A171976

Dispersion of (3·n-1), read by antidiagonals. A191450

Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = S(4·A257499(n,k) - 3), n,k >= 1, where the function S is as defined in A257480. A254067