Properties of the Number 42076

Forty-Two Thousand Seventy-Six

Basics

Value: 42075 → 42076 → 42077

Parity: even

Prime: No

Previous Prime: 42073

Next Prime: 42083

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 67 × 157

Divisors: 1, 2, 4, 67, 134, 157, 268, 314, 628, 10519

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010001011100

Octal: 122134

Duodecimal: 20424

Hexadecimal: a45c

Square: 1770389776

Square Root: 205.1243525279239

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 (n+1) X (6+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234264

Smallest m such that A357477(m) = n. A357675

T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings). A234266

Numbers that have exactly 9 representations as a k-gonal number, P(n,k) = n*((k-2)*n - (k-4))/2, k and n >= 3. A321159

Numerators of continued fraction convergents to sqrt(562). A42076