Properties of the Number 7500

Seven Thousand Five Hundred

Basics

Value: 7499 → 7500 → 7501

Parity: even

Prime: No

Previous Prime: 7499

Next Prime: 7507

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 ⁴

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1110101001100

Octal: 16514

Duodecimal: 4410

Hexadecimal: 1d4c

Square: 56250000

Square Root: 86.60254037844386

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

a(n) = n*(n+1)²/2. A6002

a(n) = n·A276086(n). A324580

Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212). A328213

The q expansion of λ⁵, a Hauptmodul for Gamma₁(5). A78905

a(n) = 12·n². A135453

Array t(n,k): row n consists of the positive integers m for which the least splitter of H(m) and H(m+1) is n, where H denotes harmonic number. A227631

Orders of finite perfect groups (groups such that G = G' where G' is the commutator subgroup of G). A60793

Pointwise product of the arithmetic derivative and the primorial base exp-function. A358669

Fixed points of A225546. A225547

Products of form p⁴*q²*r where p, q and r are three distinct primes. A179669