Properties of the Number 13707

Thirteen Thousand Seven Hundred Seven

Basics

Value: 13706 → 13707 → 13708

Parity: odd

Prime: No

Previous Prime: 13697

Next Prime: 13709

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1523

Divisors: 1, 3, 9, 1523, 4569, 13707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110001011

Octal: 32613

Duodecimal: 7B23

Hexadecimal: 358b

Square: 187881849

Square Root: 117.07689780652714

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

Add/multiply sequence, see example. A93361

T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically or antidiagonally, and top left element zero. A232948

Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns. A316293

Number of n-node rooted identity trees of height 7. A38091

a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1·0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2·1. A14112

a(n) = 169·n² + 2·n. A158220

Number of tilings of an 8 X n rectangle using integer-sided rectangular tiles of area 8. A220125

Number of nX3 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically or antidiagonally, and top left element zero. A232943

Number of n X 4 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically or antidiagonally, and top left element zero. A232944

Odd numbers k such that φ(k) and cototient(k) have the same prime signature. A280927