Properties of the Number 18372

Eighteen Thousand Three Hundred Seventy-Two

Basics

Value: 18371 → 18372 → 18373

Parity: even

Prime: No

Previous Prime: 18371

Next Prime: 18379

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1531

Divisors: 1, 2, 3, 4, 6, 12, 1531, 3062, 4593, 6124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011111000100

Octal: 43704

Duodecimal: A770

Hexadecimal: 47c4

Square: 337530384

Square Root: 135.5433509988594

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

Number of 3 X 3 magilatin squares with positive values and magic sum n. A173549

Expansion of ∏_k>=1 (1 + x^k)^{3^(k-1}). A343360

Number of partitions that are "3-close" to being self-conjugate. A108962

Number of partitions of n in which any two parts differ by at most 6. A218508

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 629", based on the 5-celled von Neumann neighborhood. A283389

Numbers k such that (k!-7)/7 is prime. A139202

Number of 1's in n-th term of A007651. A22466

Number of 3-dimensional lattice paths running from (0,0,0) to (n,n,n), lying in {(x,y,z) : 0<=x<=y<=z} and using the steps (1,0,0), (0,1,0), (0,0,1), (1,1,0), (1,0,1), (0,1,1), (1,1,1). A88594

Numbers k such that φ(k-6) = φ(k) = φ(k+6). A217006

a(n) = ∑_k=1..n binomial(n,k) * τ(k) * τ(n - k + 1), where τ = A000005. A328681