Properties of the Number 4538

Four Thousand Five Hundred Thirty-Eight

Basics

Value: 4537 → 4538 → 4539

Parity: even

Prime: No

Previous Prime: 4523

Next Prime: 4547

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 2269

Divisors: 1, 2, 2269, 4538

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110111010

Octal: 10672

Duodecimal: 2762

Hexadecimal: 11ba

Square: 20593444

Square Root: 67.36467917239716

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

Coordination sequence for "tea" 3D uniform tiling. A299285

Indices of primes in A141523. A235862

Number of integer partitions of n having a part that can be written as a nonnegative linear combination of the other (possibly equal) parts. A364913

Numbers m such that m² ends in 444. A39685

Number of integer partitions of n whose maximal anti-runs do not all have different maxima. A375401

a(n) = A026637(2·n, n). A26638

a(n) = A026637(n, floor(n/2)). A26643

Number of configurations of the 5 X 5 variant of sliding block 15-puzzle ("24-puzzle") that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90031

Positions of 2's in A264977; positions of 3's in A277330. A277712

Number of partitions p of n into distinct parts such that max(p) >= 2·min(p). A241036