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Properties of the Number 56472

Fifty-Six Thousand Four Hundred Seventy-Two

Basics

Value: 56471 → 56472 → 56473

Parity: even

Prime: No

Previous Prime: 56467

Next Prime: 56473

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 3 × 3 × 13 × 181

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101110010011000

Octal: 156230

Duodecimal: 28820

Hexadecimal: dc98

Square: 3189086784

Square Root: 237.63838073846574

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 nXk binary arrays with every 1 having exactly one king-move neighbor equal to 1. A183442
T(n,k) = number of nXk 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..1 array. A228986
Irregular triangular array, read by rows: row n shows the coefficients of the polynomial p(n,x) defined in Comments. A329429
Coefficients of polynomials (in descending powers of x) P(n,x) := 1 + P(n-1,x)2, where P(1,x) = x + 1. A158985
a(n) = A014486(A179754(n)). A179755
a(n) = n*(4·n2 + 2·n + 1). A110451
Number of nX5 binary arrays with every 1 having exactly one king-move neighbor equal to 1. A183438
Number of nX6 binary arrays with every 1 having exactly one king-move neighbor equal to 1. A183439
Number of n X 4 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 5 0..1 array. A228982
Number of n X n 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(n+1) 0..1 array. A228979