Properties of the Number 51357

Fifty-One Thousand Three Hundred Fifty-Seven

Basics

Value: 51356 → 51357 → 51358

Parity: odd

Prime: No

Previous Prime: 51349

Next Prime: 51361

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 19 × 53

Divisors: 1, 3, 17, 19, 51, 53, 57, 159, 323, 901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100010011101

Octal: 144235

Duodecimal: 25879

Hexadecimal: c89d

Square: 2637541449

Square Root: 226.6208286985113

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 of ways to split an integer partition of n into consecutive subsequences of equal length. A323433

a(n) = n*(n+1)*(n+2)*(n+3)*(3·n+2)/120. A51836

Subdiagonal of array of n-gonal numbers A081422. A81423

Number of walks of length n between two nodes at distance 4 in the cycle graph C₉. A95369

a(n) = 3*(3·n+1)*(9·n+8)/2. A304504

75-gonal numbers: a(n) = n*(73·n-71)/2. A98230

G.f. satisfies: A(x) = ∑_n>=0 xⁿ*A(x)ⁿ * ∏_k=1..n (A(x)^k - x^k). A229189

Chernoff sequence A006939 divided by 2. A51357

Semiprime numbers that are sandwiched between products of exactly 4 distinct primes (or tetraprimes). A375964