Properties of the Number 4500

Four Thousand Five Hundred

Basics

Value: 4499 → 4500 → 4501

Parity: even

Prime: No

Previous Prime: 4493

Next Prime: 4507

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 ³

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110010100

Octal: 10624

Duodecimal: 2730

Hexadecimal: 1194

Square: 20250000

Square Root: 67.08203932499369

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

Number of regions in regular n-gon with all diagonals drawn. A7678

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

Number of partitions of n with a product greater than n. A114324

a(n) = 5·n². A33429

Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k. A129575

Numbers with distinct prime factors 2, 3, and 5. A143207

A run-length describing inverse to A181819. The multiplicity of prime(k) in a(n) is the k-th smallest prime index of n, which is A112798(n,k). A304660

Number of integer partitions of n whose first differences (assuming the last part is zero) are unimodal. A332283

Hypotenuses for which there exist exactly 3 distinct integer triangles. A84647

Numbers that are primally tight, have 2 as first prime and weakly ascending powers. A133808