Properties of the Number 42256

Forty-Two Thousand Two Hundred Fifty-Six

Basics

Value: 42255 → 42256 → 42257

Parity: even

Prime: No

Previous Prime: 42239

Next Prime: 42257

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 19 × 139

Divisors: 1, 2, 4, 8, 16, 19, 38, 76, 139, 152

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100010000

Octal: 122420

Duodecimal: 20554

Hexadecimal: a510

Square: 1785569536

Square Root: 205.56264252047356

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

Corresponds to m = 10 in a family of 4th-order linear recurrence sequences given by a(m,n) = m⁴*a(n-4) + (2·m)²*a(n-3) - 4·a(m-1), a(m,0) = -1, a(m,1) = 4, a(m,2) = -13 + 6*(m-1) + 3*(m-1)², a(m,3) = (-8+m²)². A113256

a(n) = 2ⁿ*P_n(5), 2ⁿ times the Legendre polynomial of order n at 5. A98270

Triangle read by rows: T(n,k) = number of collections of up to k+1 disjoint subsets of [n] covering [n], with [0]={}, 0<=k<=n. A381682

A scaled Legendre triangle. A110124

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = ∑_i=0..k·n 2ⁱ * ∑_j=0..i (-1)^j * binomial(i,j) * binomial(i-j,n)^k. A384362

Triangle T(n, k) is coefficient of zⁿ*w^k in 1/(1 - 2·z - 2·w - 2·z*w) read by rows in order 00, 10, 01, 20, 11, 02, ... A59473

Number of series-reduced palindromic plane trees with n nodes. A319437

a(n) = a(n-2) + a(n-3) + a(n-4) with a(0) = 0, a(1) = a(2) = 1, a(3) = 0. A277252

Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304929

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304931