Properties of the Number 56127

Fifty-Six Thousand One Hundred Twenty-Seven

Basics

Value: 56126 → 56127 → 56128

Parity: odd

Prime: No

Previous Prime: 56123

Next Prime: 56131

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 53 × 353

Divisors: 1, 3, 53, 159, 353, 1059, 18709, 56127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101101100111111

Octal: 155477

Duodecimal: 28593

Hexadecimal: db3f

Square: 3150240129

Square Root: 236.91137583493116

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

Number A(n,k) of partitions of [k·n] into n sets of size k having at least one set of consecutive numbers whose maximum (if k>0) is a multiple of k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A370363

G.f.: ∑_n>=0 (n+1)*(n+2)/2 * (x + xⁿ)ⁿ. A325998

Values of k at which the ratio k/A005132(k) sets a new record. A330788

Number of deranged matchings of 2n people with partners (of either sex) such that at least one person is matched with their spouse. A370253

Products of three distinct primes p1, p2 and p3 (sphenic numbers) with p1<p2 and p3 is the concatenation of p1 with p2. A281592

a(n) = greatest number of unrestricted partitions between successive strict partitions of n, with partitions listed in Mathematica order. A366883

Minimum m where ∏_{k=1 to m}[p_k] > (p_m+1)ⁿ, where p_k is k-th prime. A56127