Properties of the Number 18972

Eighteen Thousand Nine Hundred Seventy-Two

Basics

Value: 18971 → 18972 → 18973

Parity: even

Prime: No

Previous Prime: 18959

Next Prime: 18973

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 17 × 31

Divisors: 1, 2, 3, 4, 6, 9, 12, 17, 18, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101000011100

Octal: 45034

Duodecimal: AB90

Hexadecimal: 4a1c

Square: 359936784

Square Root: 137.73888339898795

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

Numbers k such that (266·10^k + 1)/3 is prime. A269303

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7. A252574

Numbers k such that the central binomial coefficient C(2k,k) is divisible by k². A121943

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁹ in powers of x. A1487

Sum of all the parts in the partitions of n into 6 parts. A308867

a(n) = 15·n² - 13·n. A263226

a(n) = 1458·n + 18. A157505

Even dodecagonal numbers: a(n) = 4·n*(5·n - 2). A193872

Expansion of ∏_{i>=1, j>=1} (1 + x^{i·j*(j + 1}/2)). A327745

The number of homogeneous trisubstituted linear alkanes. A159938