Properties of the Number 10180

Ten Thousand One Hundred Eighty

Basics

Value: 10179 → 10180 → 10181

Parity: even

Prime: No

Previous Prime: 10177

Next Prime: 10181

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 509

Divisors: 1, 2, 4, 5, 10, 20, 509, 1018, 2036, 2545

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111000100

Octal: 23704

Duodecimal: 5A84

Hexadecimal: 27c4

Square: 103632400

Square Root: 100.89598604503551

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

15-gonal (or pentadecagonal) numbers: n*(13n-11)/2. A51867

Number of regions in an equal-armed cross with arms of length n (see Comments for definition). A331456

The 240-degree spoke (or ray) of a hexagonal spiral of Ulam. A244805

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=2, I={0,1}. A80013

Numbers k such that k + σ(k) + σ(σ(k)) is a square. A116014

a(n) = ∑_i=0..n digsum(i)³, where digsum(i) = A007953(i). A231688

Number of line segments connecting exactly 3 points in an n X n grid of points. A177719

"Crossing Hamiltonian walks" on the square lattice (see Jensen web site for further information). A121788

a(n) = ∑_k=0..n C(n,floor(k/2))*(-3)^n-k. A127362

Binomial transform of [1, 3, 7, 0, 0, 0, ...]. A140063