Properties of the Number 18872

Eighteen Thousand Eight Hundred Seventy-Two

Basics

Value: 18871 → 18872 → 18873

Parity: even

Prime: No

Previous Prime: 18869

Next Prime: 18899

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 × 337

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 337, 674

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100110111000

Octal: 44670

Duodecimal: AB08

Hexadecimal: 49b8

Square: 356152384

Square Root: 137.37539808859518

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 subsets of {1..n} whose greatest element can be written as a (strictly) positive linear combination of the others. A365043

Smallest even k such that lpf(k-1) = prime(n), while lpf(k-3) > prime(n), where lpf=least prime factor (A020639). A242489

Expansion of (φ(-q⁵) / φ(-q))² in powers of q where φ() is a Ramanujan θ function. A138517

a(n) = σ(A291789(n)). A291804

Total sum of parts of multiplicity 10 in all partitions of n. A222738

a(n) = n*(2ⁿ - n + 1) + 2^n-1*(n² - 3·n + 2). A191821

Number of n X 4 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201371

Integer lengths of log(2)-primes: numbers n such that the concatenation of the first n decimal digits of log(2) is prime. A228226

a(n) = ∑_{m=0..floor((n-1)/2)} prime((n-m)(n-m-1)/2+m+1). A249490

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 141", based on the 5-celled von Neumann neighborhood. A270284