Properties of the Number 4657

Four Thousand Six Hundred Fifty-Seven

Basics

Value: 4656 → 4657 → 4658

Parity: odd

Prime: Yes

Previous Prime: 4651

Next Prime: 4663

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 4657

Divisors: 1, 4657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110001

Octal: 11061

Duodecimal: 2841

Hexadecimal: 1231

Square: 21687649

Square Root: 68.24221567329127

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

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Number of graphical partitions of 2n. A569

Coordination sequence for (2,6,infinity) tiling of hyperbolic plane. A265070

Prime numbers congruent to 1 modulo 16 representable by both x² + 32·y² and x² + 64·y². A325067

Primes of the form k(k+1)/2+1 (i.e., central polygonal numbers, or one more than triangular numbers). A55469

Number of integer partitions of n such that every permutation has all distinct runs. A351204

a(n) = (9·n² + 3·n + 2)/2. A38764

Number of strict compositions of n with all adjacent parts (x, y) satisfying x < 2y and y < 2x. A342341

Primes p whose period of the reciprocal 1/p is (p-1)/3. A55628

Irregular primes with irregularity index three. A60975

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