Properties of the Number 42456

Forty-Two Thousand Four Hundred Fifty-Six

Basics

Value: 42455 → 42456 → 42457

Parity: even

Prime: No

Previous Prime: 42451

Next Prime: 42457

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 29 × 61

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 29, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010111011000

Octal: 122730

Duodecimal: 206A0

Hexadecimal: a5d8

Square: 1802511936

Square Root: 206.04853797103246

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

a(n) = ∑_m=1..n ∑_k=1..m prime(k). A14148

a(n) = ∑_k=1..n-1 σ(k) * sigma₂(n-k). A374974

Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer. A32795

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,37. A64255

a(n) = k·a(n-1) + a(n-2) where k = A003842(a); a(0) = 1. A108282

Numbers k such that k·Lucas(k) + 1 is prime. A134696

The number of non-equivalent distinguishing colorings of the cycle on n vertices with at most k colors (k>=1). The cycle graph is defined for n>=3; extended to n=1,2 using the closed form. Square array read by descending antidiagonals: the rows are indexed by n, the number of vertices of the cycle and the columns are indexed by k, the number of permissible colors. A309528

Numerators of continued fraction convergents to sqrt(756). A42456

Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. A304415