Properties of the Number 42376

Forty-Two Thousand Three Hundred Seventy-Six

Basics

Value: 42375 → 42376 → 42377

Parity: even

Prime: No

Previous Prime: 42373

Next Prime: 42379

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5297

Divisors: 1, 2, 4, 8, 5297, 10594, 21188, 42376

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010110001000

Octal: 122610

Duodecimal: 20634

Hexadecimal: a588

Square: 1795725376

Square Root: 205.854317418897

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 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

Fixed points of permutations A261333, A261334. A261335

Number of necklaces with n white beads and 9·n black beads. A261503

(1/10) times the number of n-member subsets of [10n] whose elements sum to a multiple of n. A309189

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252678

Number of (3+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252682

Numerators of continued fraction convergents to sqrt(715). A42376