Properties of the Number 7525

Seven Thousand Five Hundred Twenty-Five

Basics

Value: 7524 → 7525 → 7526

Parity: odd

Prime: No

Previous Prime: 7523

Next Prime: 7529

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 7 × 43

Divisors: 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101100101

Octal: 16545

Duodecimal: 4431

Hexadecimal: 1d65

Square: 56625625

Square Root: 86.74675786448736

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

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

a(n) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

a(n) = (-6·n⁷ + 154·n⁶ - 1533·n⁵ + 7525·n⁴ - 18879·n³ + 22561·n² - 7302·n + 2520)/2520. A161710

4-dimensional analog of centered polygonal numbers. Also number of regions created by sides and diagonals of a convex n-gon in general position. A6522

Number of compositions (ordered partitions) of n into square parts (A000290) such that no two adjacent parts are equal (Carlitz compositions). A301503

Number of integer partitions of n that cannot be partitioned into a set of sets. A382078

Concentric 22-gonal numbers. A195149

Number of partitions of a set of n elements where the partitions are of size > 3. A57837

a(n) = A063997(n)/4. A88406