Properties of the Number 18845

Eighteen Thousand Eight Hundred Forty-Five

Basics

Value: 18844 → 18845 → 18846

Parity: odd

Prime: No

Previous Prime: 18839

Next Prime: 18859

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 3769

Divisors: 1, 5, 3769, 18845

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100110011101

Octal: 44635

Duodecimal: AAA5

Hexadecimal: 499d

Square: 355134025

Square Root: 137.27709204379295

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

a(0) = 16, after which, if a(n-1) = ∏_{k >= 1} (p_k)^c_k, then a(n) = (1/2) * (1 + ∏_{k >= 1} (p_k+1)^c_k), where p_k indicates the k-th prime, A000040(k). A246344

Expansion of a modular function for Gamma₀(14). A2509

Numbers in A231626 but not in A343302; first of 5 consecutive deficient numbers in arithmetic progression with common difference > 1. A343303

Number of distinct sums i³ + j³ + k³ for 1<=i<=j<=k<=n. A374713

Consider the family of multigraphs enriched by the species of partitions. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges. A98315

Number of iterations required for the sum of n and its prime divisors = t to reach a prime (where t replaces n in each iteration) in A016837. A18845