Properties of the Number 46332

Forty-Six Thousand Three Hundred Thirty-Two

Basics

Value: 46331 → 46332 → 46333

Parity: even

Prime: No

Previous Prime: 46327

Next Prime: 46337

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 11 × 13

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011010011111100

Octal: 132374

Duodecimal: 22990

Hexadecimal: b4fc

Square: 2146654224

Square Root: 215.24869337582516

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

Dimensions of the irreducible representations of the simple Lie algebra of type E6 over the complex numbers, listed in increasing order. A121737

Terms of A177763 which have more than one such representation. A177766

G.f. A(x) = ∑_n>=1 a(n)*x^2·n-1 satisfies: A(x³*R(x)) = x⁴ - x⁶, where A(R(x)) = x. A350482

Number T(n,k) of derangements of [n] having exactly k peaks; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/2)), read by rows. A303564

Numbers k such that the powerful part of the sum of divisors of k (A387726) is greater than or equal to k, and σ(k) is not itself a powerful number. A387729

Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant >= 3n. A210368

Number of derangements of S_n with exactly one peak. A301272

a(n) = A276075(n!), where A276075 is the factorial base log-function. A376397

a(n) = 3*(n+1)*binomial(n+5,6). A27811

a(n) = 66*(n+1)*binomial(n+5,11). A27816