Properties of the Number 72060

Seventy-Two Thousand Sixty

Basics

Value: 72059 → 72060 → 72061

Parity: even

Prime: No

Previous Prime: 72053

Next Prime: 72073

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 1201

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100101111100

Octal: 214574

Duodecimal: 35850

Hexadecimal: 1197c

Square: 5192643600

Square Root: 268.4399374161751

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

Triangle of numbers relating two sequences A073155 and A073156. A73153

Main diagonal sequence of triangle A073153. A73156

a(n) = (1/2) * ∑_{|k|<=2·sqrt(p)} k⁶*H(4·p-k²) where H() is the Hurwitz class number and p is the n-th prime. A297492

Triangle read by rows: T(n, k) = n·k * (T(n-1, k-1) + T(n-1, k)) for k > 0 with initial values T(n, 0) = 1 and T(i, j) = 0 for j > i. A371898

G.f.: A(x) = 1 + x·B(x), where B(x) = 1 + x²*C(x)², C(x) = 1 + x³*D(x)³, D(x) = 1 + x⁴*E(x)⁴, ... A228866

Number of colored integer partitions of n using all colors of a 3-set such that a color pattern for part i has i distinct colors in increasing order. A327842

θ series of direct sum of 5 copies of hexagonal lattice. A8656

Smallest prime p such that 2·p+1 has n prime factors (with multiplicity). A72060

G.f. satisfies: A(x) = H(x·A(x)) where H(x) = A(x/H(x)) is the θ series of planar hexagonal lattice A₂ (A004016). A200378