Properties of the Number 42557

Forty-Two Thousand Five Hundred Fifty-Seven

Basics

Value: 42556 → 42557 → 42558

Parity: odd

Prime: Yes

Previous Prime: 42533

Next Prime: 42569

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 42557

Divisors: 1, 42557

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011000111101

Octal: 123075

Duodecimal: 20765

Hexadecimal: a63d

Square: 1811098249

Square Root: 206.29348026537338

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)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 nXk array. A218592

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..1 nXk array. A218426

Hilltop maps: number of n X 1 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..2 n X 1 array. A218199

Expansion of ∏_k>=1 (∏_j=1..k (1 + x^k·j)^j). A327063

Number of (w,x,y,z) with all terms in {1,...,n} and w·x<=y·z+1. A212053

Hilltop maps: number of n X 2 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..1 n X 2 array. A218420

Number of n-bit strings that contain no more than 4 zeros and no more than 2 leading and 2 trailing zeros. A102026

Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 4 king-move adjacent elements, with upper left element zero. A297904

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 37. A31625

List of triples of primes with common difference 24. A128383