Properties of the Number 18445

Eighteen Thousand Four Hundred Forty-Five

Basics

Value: 18444 → 18445 → 18446

Parity: odd

Prime: No

Previous Prime: 18443

Next Prime: 18451

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 17 × 31

Divisors: 1, 5, 7, 17, 31, 35, 85, 119, 155, 217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100000001101

Octal: 44015

Duodecimal: A811

Hexadecimal: 480d

Square: 340218025

Square Root: 135.812370570578

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

Hexagonal pyramidal numbers, or greengrocer's numbers. A2412

a(n) = ∑_i=1..n ∑_j=1..i (prime(i) - prime(j)). A62020

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233353

G.f. satisfies A(x) = (1 + x·A(x))³ * (1 + x·A(x)²). A274735

a(n) = (1/24)*n*(n - 1)*(n - 3)*(n - 14). A319930

Expansion of ∏_k>=1 (1-x^k)³¹. A10836

Odd hexagonal pyramidal numbers. A15225

Numbers n such that the middle coefficient of the cyclotomic polynomial Phi_n(x) has a value not obtained for any smaller n. A95877

Number triangle with row sums given by quadruple factorial numbers A001813. A168422

Numbers k such that 3k-4, 3k-2, 3k+2, and 3k+4 are primes. A173092