Properties of the Number 42476

Forty-Two Thousand Four Hundred Seventy-Six

Basics

Value: 42475 → 42476 → 42477

Parity: even

Prime: No

Previous Prime: 42473

Next Prime: 42487

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 37 × 41

Divisors: 1, 2, 4, 7, 14, 28, 37, 41, 74, 82

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010111101100

Octal: 122754

Duodecimal: 206B8

Hexadecimal: a5ec

Square: 1804210576

Square Root: 206.09706451087555

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

Number of compositions of n whose run-lengths cover an initial interval of positive integers. A329766

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253524

Perimeters of more than one primitive 120-degree integer triangle. A350047

Numbers k such that k + A224787(k) is a square. A386640

G.f. A(x) = ∑_n>=0 a(n)*xⁿ satisfies: [∑_n>=0 xⁿ/(1 - xⁿ⁺¹)]⁴ = ∑_n>=0 a(n)*xⁿ/(1 - xⁿ⁺¹)⁴. A341375

Bond percolation series for 4.8 (bathroom tile) lattice. A120553

a(n) = 2·a(n-1) + a(n-2) + a(n-3) + a(n-4), a(-2)=0, a(-1)=0, a(0)=1, a(1)=1. A190139

Number of (n+1)X(2+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253518

Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253520

Numerators of continued fraction convergents to sqrt(766). A42476