Properties of the Number 15627

Fifteen Thousand Six Hundred Twenty-Seven

Basics

Value: 15626 → 15627 → 15628

Parity: odd

Prime: No

Previous Prime: 15619

Next Prime: 15629

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5209

Divisors: 1, 3, 5209, 15627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110100001011

Octal: 36413

Duodecimal: 9063

Hexadecimal: 3d0b

Square: 244203129

Square Root: 125.00799974401639

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

Numbers that are the sum of 3 nonzero 6th powers. A3359

Triangle of coefficients T(n,k) of xⁿ*y^k in g.f. A(x,y) satisfying y = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y·A(x,y) + x^n-1)ⁿ⁺¹. A359670

Third step in Goodstein sequences, i.e., g(5) if g(2)=n: write g(4)=A057650(n) in hereditary representation base 4, bump to base 5, then subtract 1 to produce g(5). A59934

Number of 5's in all partitions of n. A24789

53 'Reverse and Add' steps are needed to reach a palindrome. A65320

a(1) = 1; a(n) = 1 + ∑_i=1..n ∏_j=i..2·i-1 (n-j). A72374

Row sums of number triangle A122851. A122852

a(n) = n³ + 2. A84380

a(n) = G_n(11), where G is the Goodstein function defined in A266201. A271558

a(n) = 5ⁿ + 2. A242328