Properties of the Number 18173

Eighteen Thousand One Hundred Seventy-Three

Basics

Value: 18172 → 18173 → 18174

Parity: odd

Prime: No

Previous Prime: 18169

Next Prime: 18181

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17 × 1069

Divisors: 1, 17, 1069, 18173

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011011111101

Octal: 43375

Duodecimal: A625

Hexadecimal: 46fd

Square: 330257929

Square Root: 134.80726983364065

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(n) = ∑_i=0..n digsum₃(i)⁴, where digsum₃(i) = A053735(i). A231505

Numbers k such that 8·R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A99422

a(n) = 12·n² - 2·n - 1. A185918

Counts 3-wild partitions. In general p-wild partitions of n are defined so that they are in bijection with geometric equivalence classes of degree n algebra extensions of the p-adic field Q_p. Here two algebra extensions are equivalent if they become isomorphic after tensoring with the maximal unramified extension of Q_p. A131140

Positive numbers y such that y² is of the form x²+(x+833)² with integer x. A156835

G.f.: ∑_n=-oo..+oo Fibonacci(n+1) * xⁿ * (1-xⁿ)ⁿ. A292498

Expansion of ∏_k>=1 (1 - x^k)^A000593(k). A316366

a(n) is the largest number that can be expressed as the sum of three positive triangular numbers in exactly n ways. A330811

a(0) = a(1) = a(2) = 1, for n > 2, a(n) = a(n-1) + a(n-k) + k with k = 3. A362256

Powers of fifth root of 20 rounded up. A18173