Properties of the Number 56053

Fifty-Six Thousand Fifty-Three

Basics

Value: 56052 → 56053 → 56054

Parity: odd

Prime: Yes

Previous Prime: 56041

Next Prime: 56081

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 56053

Divisors: 1, 56053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101011110101

Octal: 155365

Duodecimal: 28531

Hexadecimal: daf5

Square: 3141938809

Square Root: 236.75514777930383

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

Boustrophedon primes: write the numbers 0, 1, 2, 3, ... in a triangle on a square grid in the boustrophedon manner, ending a row when a prime is reached; sequence lists primes that appear in the zeroth column. A330339

The first of two consecutive primes the sum of which is equal to the sum of two consecutive pentagonal numbers. A298464

Smallest number m such that A212813(m) = n. A212911

Primes of the form k!3-2187, where k!3 is the triple factorial number (A007661). A289822

Number of compositions (ordered partitions) of n into prime power parts (A246655) such that no two adjacent parts are equal (Carlitz compositions). A301501

Union of 2, A282178, and A330339. A330554

Primes expressible as the sum of 3 consecutive palindromic primes. A46493

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, 0), (1, 0, -1), (1, 1, 1)}. A149552

a(n) = smallest odd number 2m+1 such that the partial sum of the odd harmonic series ∑_j=0..m 1/(2j+1) is > n. A56053

Numbers n such that n!3 - 3⁷ is prime, where n!3 = n!!! is a triple factorial number (A007661). A267382