Properties of the Number 46920

Forty-Six Thousand Nine Hundred Twenty

Basics

Value: 46919 → 46920 → 46921

Parity: even

Prime: No

Previous Prime: 46919

Next Prime: 46933

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 17 × 23

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011011101001000

Octal: 133510

Duodecimal: 231A0

Hexadecimal: b748

Square: 2201486400

Square Root: 216.61024906499694

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

The binary encoding (as a rooted planar tree) of each rooted planar binary tree. See A057123 for illustration. A57122

a(n) = ∑_k=0..n 2^n-k * binomial(n-1,n-k) * binomial(2·k,k). A360317

G.f.: A(x) = exp( ∑_n>=1 σ(n)⁴ * xⁿ/n ). A205797

Records in A104883. A104884

Number of orbits of size n in vertex graph of Lucas cube Lambda_n. A250114

Least k formed by the concatenation of two numbers n and d such that d is the n-th divisor of k, or 0 if no such k exists. A257491

a(n) = binomial(n,4) - binomial(floor(n/2),4) - binomial(ceiling(n/2),4). A111385

E.g.f. satisfies: A(x) = exp( A(x) * Series_Reversion( Integral A(x) dx ) ). A233337

Let x(0)x(1)x(2)... x(q) denote the decimal expansion of n. Sequence lists the numbers n such that the suffix of decimal expansion x(2)... x(q) is the p-th divisor of n where p is the prefix of decimal expansion x(0)x(1). A234315

Numbers m such that the concatenation of k and the k-th divisor of m is equal to m for some k. A258738