Properties of the Number 13179

Thirteen Thousand One Hundred Seventy-Nine

Basics

Value: 13178 → 13179 → 13180

Parity: odd

Prime: No

Previous Prime: 13177

Next Prime: 13183

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 23 × 191

Divisors: 1, 3, 23, 69, 191, 573, 4393, 13179

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101111011

Octal: 31573

Duodecimal: 7763

Hexadecimal: 337b

Square: 173686041

Square Root: 114.79982578383994

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

Number of ordered triples (i,j,k) with |i|,|j|,|k|,|i·j*k| <= n and gcd(i,j,k) <= 1. A226357

G.f.: A(x) = exp( ∑_n>=1 3·A038500(n) * xⁿ/n ), where A038500 is the highest power of 3 dividing n. A161809

Indices i where a run of zeros starts in A305671. A305673

a(n) = 25·n² - 2·n. A154376

Indices i such that A305671(i) ≠ A305671(i-1). A305674

Expansion of (1+x)^1/3/(1+x-9·x⁴)^1/3. A98535

Least number having n orderless representations as p² + q² + r², where p, q, and r are primes. A214512

Number of ternary strings of length n that contain at least two 0's and at most one 1. A338230

Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number. A118559

Number of strings of numbers x(i=1..n) in 0..4 with sum i²*x(i) equal to n²*4. A183948