Properties of the Number 13725

Thirteen Thousand Seven Hundred Twenty-Five

Basics

Value: 13724 → 13725 → 13726

Parity: odd

Prime: No

Previous Prime: 13723

Next Prime: 13729

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 61

Divisors: 1, 3, 5, 9, 15, 25, 45, 61, 75, 183

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010110011101

Octal: 32635

Duodecimal: 7B39

Hexadecimal: 359d

Square: 188375625

Square Root: 117.15374513859982

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 for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

Expansion of (1+2·x+3·x²)/((1-x)³*(1-x²)). A55232

T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal, antidiagonal or vertical neighbor in a random 0..1 nXk array. A219156

First n numbers in binary representation concatenated in reverse order. A98780

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,2 or 1,2. A264131

a(n) = 4·A000984(n) - 3. A134770

A134770 interleaved with threes. A134771

Terms k of A228058 for which A048146(k)+A162296(k) >= 2·k, where A048146 is the sum of non-unitary divisors, and A162296 is the sum of divisors that have a square factor. A389219

Primitive terms of A359563: terms of A359563 with no proper divisor in A359563. A359564

G.f.: (x+4·x³+x⁵)/((1-x)²*(1-x²)²*(1-x³)). A83707

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