Properties of the Number 13732

Thirteen Thousand Seven Hundred Thirty-Two

Basics

Value: 13731 → 13732 → 13733

Parity: even

Prime: No

Previous Prime: 13729

Next Prime: 13751

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 3433

Divisors: 1, 2, 4, 3433, 6866, 13732

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110100100

Octal: 32644

Duodecimal: 7B44

Hexadecimal: 35a4

Square: 188567824

Square Root: 117.18361660232202

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 integer partitions of n with a neighborless singleton. A356235

T(n,k)=Number of length n+2 0..k arrays with the sum of second differences multiplied by some arrangement of +-1 equal to zero. A250561

Triangle read by rows: T(n,k) is the number of 2k-cycles in the n X n grid graph (2 <= k <= floor(n²/2), n >= 2). A302337

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4·n points placed on the sides of a square, using only a compass. A372980

Number of partitions of n in which the number of prime parts is not equal to the number of nonprime parts. A355306

Number of 5-element subsets of [n] whose sum is a triangular number. A320851

Row sums of the triangular array A357431. A357417

Number of n X 2 0..3 arrays with rows and columns lexicographically nondecreasing read forwards and nonincreasing read backwards. A201975

Number of length 4+2 0..n arrays with the sum of second differences multiplied by some arrangement of +-1 equal to zero. A250563

Number of 3 X n 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302516