Properties of the Number 13701

Thirteen Thousand Seven Hundred One

Basics

Value: 13700 → 13701 → 13702

Parity: odd

Prime: No

Previous Prime: 13697

Next Prime: 13709

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 4567

Divisors: 1, 3, 4567, 13701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110000101

Octal: 32605

Duodecimal: 7B19

Hexadecimal: 3585

Square: 187717401

Square Root: 117.05127081753534

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

Sum of the smallest parts of the partitions of 4n into 4 parts. A238702

Magic sums of 3 X 3 semimagic squares composed of positive squares. A269061

Number of partitions p of n such that the multiplicity of 2·min(p) is a part. A240496

Expansion of ∏_k>=0 (1-x^5·k+1)^5·k+1. A285071

a(n) = A000522(n) + 1. A73591

Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 3 and repeat; as m = 1,2,3,.. the remaining terms form this sequence. A112561

G.f. A(x) satisfies: A(x) = 1 / ((1 - x) * (1 - x·A(4·x))). A348859

Expansion of 1 / ( (1 - 16·x⁴) * (1 - x/(1 - 16·x⁴)^1/4) ). A373583

Expansion of (1+2·x) / (1-x-6·x²+2·x³). A384732

Fundamental discriminants of real quadratic number fields with class number 7. A218157