Properties of the Number 56123

Fifty-Six Thousand One Hundred Twenty-Three

Basics

Value: 56122 → 56123 → 56124

Parity: odd

Prime: Yes

Previous Prime: 56113

Next Prime: 56131

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 56123

Divisors: 1, 56123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101100111011

Octal: 155473

Duodecimal: 2858B

Hexadecimal: db3b

Square: 3149791129

Square Root: 236.90293370914594

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

Primes of the form k² + k + 55661, with k >= 0. A116206

a(n) is the smallest number not already in the sequence, such that the concatenation of all a(n) displays the periodic digit string 1, 2, 3, 4, 5, 6 (and repeat). A165304

Expansion of ∏_{1 <= i < j} 1/(1 - x^i·j). A321285

Primes that remain prime through 3 iterations of function f(x) = 8x + 9. A23295

Number of unlabeled rooted trees with n nodes whose level sizes are strictly decreasing away from the root, excluding the root level. A393334

Number of n-digit left- or right-truncatable primes with no consecutive zero digits. A346662

Slice of elementary triangular automaton rule 210, starting from a lone 1 cell. A384193

Convoluted convolved Fibonacci numbers G_j⁸. A89095

a(n) = 3·a(n-1) - a(n-2) with a(0)=1, a(1)=11. A56123

Concatenate n consecutive numbers 1..n in a clockwise circle such that n > 1 is also concatenated to 1. Then a(n) is the number (counting with multiplicity) of substrings of digits in this endless loop that are prime. No counting may go over the starting digit again, that is, no substring can extend beyond one full circle. Leading zeros are not allowed. A359179