Properties of the Number 13172

Thirteen Thousand One Hundred Seventy-Two

Basics

Value: 13171 → 13172 → 13173

Parity: even

Prime: No

Previous Prime: 13171

Next Prime: 13177

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 37 × 89

Divisors: 1, 2, 4, 37, 74, 89, 148, 178, 356, 3293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001101110100

Octal: 31564

Duodecimal: 7758

Hexadecimal: 3374

Square: 173501584

Square Root: 114.76933388322858

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

G.f.: 1/p(x), where p(x) = degree 22 Salem polynomial p(x) = x²² + x²¹ - x¹⁹ - 2·x¹⁸ - 3·x¹⁷ - 3·x¹⁶ - 2·x¹⁵ + 2·x¹³ + 4·x¹² + 5·x¹¹ + 4·x¹⁰ + 2·x⁹ - 2·x⁷ - 3·x⁶ - 3·x⁵ - 2·x⁴ - x³ + x + 1. A143419

Number of partitions of n such that the number of different parts is odd. A90794

Divide even numbers into groups with prime(n) elements and add together. A34959

Rounded total surface area of a regular icosahedron with edge length n. A71398

Triangle read by rows: T(n,k) is the number of permutations p of {1,2,...,n} such that the set {p(i)-i, i=1,2,...,n} has exactly k elements (1<=k<=n). A125182

Numbers n such that n | sigma₁₂(n). A55716

Even numbers n such that 37² (the square of the first irregular prime) divides the numerator of Bernoulli(n). A90789

Number of sets of exactly five positive integers <= n having a square element sum. A281865

Number of multisets of exactly six partitions of positive integers into distinct parts with total sum of parts equal to n. A320791

Least m such that σ-Composite-Harmonic series ∑_k=1..m 1/A000203(A002808(k)) >= n. A74469