Properties of the Number 47628

Forty-Seven Thousand Six Hundred Twenty-Eight

Basics

Value: 47627 → 47628 → 47629

Parity: even

Prime: No

Previous Prime: 47623

Next Prime: 47629

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁵ × 7 ²

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000001100

Octal: 135014

Duodecimal: 23690

Hexadecimal: ba0c

Square: 2268426384

Square Root: 218.23840175367854

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

Triangular array: the fusion of (x+1)ⁿ and (x+2)ⁿ; see Comments for the definition of fusion. A193722

θ series of the 12-dimensional lattice of hyper-roots D₃(SU(3)). A288488

Numbers of multiplicative persistence 6 which are themselves the product of digits of a number. A350185

Mirror of the fusion triangle A193722. A193723

Expansion of e.g.f. 1/(1 - (x * (exp(x) - 1))² / 4). A353883

Smallest composite which when sum of prime factors is repeatedly subtracted reaches a prime after n iterations. A53093

Triangle of number of partitions that fit in an n X n box (but not in an (n-1) X (n-1) box) with Durfee square k. A116647

Dimensions of certain Lie algebra (see reference for precise definition). A133317

Discriminant of the pure cubic field Q(m^1/3), where m = A004709(n) is the n-th cubefree number. A242867

Numbers k such that 3k - 1 divides 3^k - 1. A273614