Properties of the Number 51588

Fifty-One Thousand Five Hundred Eighty-Eight

Basics

Value: 51587 → 51588 → 51589

Parity: even

Prime: No

Previous Prime: 51581

Next Prime: 51593

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1433

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1433

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100110000100

Octal: 144604

Duodecimal: 25A30

Hexadecimal: c984

Square: 2661321744

Square Root: 227.1299187689724

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 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A298337

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A299398

Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A298333

Record gaps between Chebyshev primes (of index 1). A196672

Number of nX1 0..3 arrays with the counts of all possible adjacent horizontal and vertical pair sum values being within one of each other. A203248

Number of length 2+2 0..n arrays with some pair in every consecutive three terms totalling exactly n. A245871

Number of nX5 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A298334

Number of nX5 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A299395

Indices of prime squares in A381019. A381095

Number of 3 X n binary matrices such that any 2 rows have a common 1. A51588