Properties of the Number 56754

Fifty-Six Thousand Seven Hundred Fifty-Four

Basics

Value: 56753 → 56754 → 56755

Parity: even

Prime: No

Previous Prime: 56747

Next Prime: 56767

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 1051

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 1051, 2102

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110110110010

Octal: 156662

Duodecimal: 28A16

Hexadecimal: ddb2

Square: 3221016516

Square Root: 238.23098035310184

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 nXnXn triangular 0..k arrays with some element less than a w, nw or ne neighbor exactly once. A271034

Total number of distinct block sizes in all partitions of [n]. A132963

Dirichlet convolution of right-shifted Catalan numbers with A349452 (Dirichlet inverse of A011782, 2^n-1). A349563

Numbers k such that 45·2^k+1 is prime. A32372

Number of nondecreasing arrangements of n+2 numbers in 0..7 with each number being the sum mod 8 of two others. A183910

Number of strings of numbers x(i=1..6) in 0..n with sum i²*x(i) equal to n·36. A183957

Number of nXnXn triangular 0..2 arrays with some element less than a w, nw or ne neighbor exactly once. A271028

Number of 7X7X7 triangular 0..n arrays with some element less than a w, nw or ne neighbor exactly once. A271039

Numbers k such that 369·2^k+1 is prime. A323009

Dedekind numbers or Dedekind's problem: number of monotone Boolean functions of n variables, number of antichains of subsets of an n-set, number of elements in a free distributive lattice on n generators, number of Sperner families. A372