Properties of the Number 13524

Thirteen Thousand Five Hundred Twenty-Four

Basics

Value: 13523 → 13524 → 13525

Parity: even

Prime: No

Previous Prime: 13523

Next Prime: 13537

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 ² × 23

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010011010100

Octal: 32324

Duodecimal: 79B0

Hexadecimal: 34d4

Square: 182898576

Square Root: 116.29273408085305

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

T(n,k) = Number of n X k 0..2 arrays with rows unimodal and columns nondecreasing. A224190

Neither the unsorted prime signature of a(n) nor the negated unsorted prime signature of a(n) is unimodal. A332643

a(n) = n³ - n*(n+1)/2. A160378

Number of vertices formed when n equally spaced points are placed around a circle and all pairs of points are joined by an interior arc whose radius equals the circle's radius. A371254

Triangle read by rows: T(n,k) (n >= 0, 1 <= k <= n+1) are the signed Hultman numbers. A189507

Numbers that are the sum of nine fourth powers in nine or more ways. A345593

Number of integer partitions of n whose length is a semi-sum of the parts. A367394

a(n) = (p(n)*p(n+1)-p(n+2))/2, where p(n) is the n-th odd prime. A152527

Numbers that are the sum of nine fourth powers in ten or more ways. A345594

Numbers that are the sum of nine fourth powers in exactly ten ways. A345852