Properties of the Number -172

One Hundred Seventy-Two

Basics

Value: -173 → -172 → -171

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 43

Divisors: 1, 2, 4, 43, 86, 172

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10101100

Octal: -254

Duodecimal: -124

Hexadecimal: -ac

Square: 29584

Square Root: 13.114877048604

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

Difference between sums of smallest parts of all partitions of n into odd number of parts and into even number of parts. A222046

a(n) = A077110(n) - n². A77111

McKay-Thompson series of class 24C for the Monster group with a(0) = 1. A184990

Expansion of ∑_n>=0 x^n²-n / (1 + xⁿ)ⁿ. A260148

A linear mapping a(n) = x + d·n of pairs of integers (x,d), where the pairs are enumerated by a number spiral along antidiagonals. A304587

a(n) = A349376(n) + A349377(n). A349378

McKay-Thompson series of class 24C for Monster. A58573

Sequence is {a(4,n)}, where a(m,n) is defined at sequence A110665. A110669

Expansion of q * χ(-q³) * χ(-q⁵) / ( χ(-q²) * χ(-q³⁰) ) in powers of q where χ() is a Ramanujan θ function. A132967

Expansion of f(-x⁴) * χ(x⁵) / f(-x⁵) in powers of·where f(), χ() are Ramanujan θ functions. A146164