Properties of the Number 56137

Fifty-Six Thousand One Hundred Thirty-Seven

Basics

Value: 56136 → 56137 → 56138

Parity: odd

Prime: No

Previous Prime: 56131

Next Prime: 56149

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 73 × 769

Divisors: 1, 73, 769, 56137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101101001001

Octal: 155511

Duodecimal: 285A1

Hexadecimal: db49

Square: 3151362769

Square Root: 236.93247983339052

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 (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101. A260015

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4. A196718

Odd numbers which are factored to the same set of primes in Z as to the irreducible polynomials in GF(2)[X]; odd terms of A235036. A235039

Numbers k such that A339549(k) = A339549(k+1). A339550

Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4. A196715

Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101. A260010

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101. A260014

Number of n X n 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4. A196712

a(n) = ∑_k=0..4 2^k * binomial(n,k). A389545

Number of ways in which n can be the longer leg (middle side) of an integer-sided right triangle. A56137