Properties of the Number 30372

Thirty Thousand Three Hundred Seventy-Two

Basics

Value: 30371 → 30372 → 30373

Parity: even

Prime: No

Previous Prime: 30367

Next Prime: 30389

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2531

Divisors: 1, 2, 3, 4, 6, 12, 2531, 5062, 7593, 10124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011010100100

Octal: 73244

Duodecimal: 156B0

Hexadecimal: 76a4

Square: 922458384

Square Root: 174.27564373715566

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

Generalized Catalan numbers: a(n+1) = a(n) + ∑_k=1..n-1 a(k)*a(n-1-k). A4148

Numbers that are the sum of seven fourth powers in eight or more ways. A345574

Numbers that are the sum of seven fourth powers in exactly eight ways. A345830

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4·n points placed on the sides of a square, using only a compass. A372980

Number of A095748-primes in range ]2ⁿ,2ⁿ⁺¹]. A95758

Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k valleys (n>=0, 0<=k<=floor(n/2)-1; a valley is a downstep followed by an upstep). A97885

Triangle read by rows: T(n,k) is the number of weighted lattice paths in L_n having k (1,-1)-returns to the horizontal axis. The members of L_n are paths of weight n that start at (0,0), end on the horizontal axis and whose steps are of the following four kinds: an (1,0)-step with weight 1, an (1,0)-step with weight 2, a (1,1)-step with weight 2, and a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps. A182896

Expansion of (1 - x - x² - sqrt((1 - x - x²)² - 4·x³))/(2·x³) in powers of x. A292460

Number of elevated peakless Motzkin paths. A203019

Length of shortest prefix of the Kolakoski sequence K (A000002) containing all blocks of length n that appear in K. A283511