Properties of the Number 17313

Seventeen Thousand Three Hundred Thirteen

Basics

Value: 17312 → 17313 → 17314

Parity: odd

Prime: No

Previous Prime: 17299

Next Prime: 17317

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 29 × 199

Divisors: 1, 3, 29, 87, 199, 597, 5771, 17313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001110100001

Octal: 41641

Duodecimal: A029

Hexadecimal: 43a1

Square: 299739969

Square Root: 131.5788736841899

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

Numbers k with property that average digit of k² is s=7. A164773

Principal diagonal of the convolution array A213781. A213782

a(n) = ∑_k=1..n μ(k) * k^{n - k}. A344433

Positions of powerful terms among the numbers satisfying Euler's condition for odd perfect numbers (A228058). A388279

a(n)² is the smallest square containing exactly n 9's. A48354

Numbers k such that the k-th triangular number is a binary palindrome. A350988

Number of 2-Abelian equivalence classes of words of length n over an alphabet of size 3. A289658

Expansion of ∏_k>=1 (1 + k^k*x^k)^k. A295244

a(n) = 27·n²/2 + 45·n/2 - 12 (n>=1). A304375

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