Properties of the Number 4561

Four Thousand Five Hundred Sixty-One

Basics

Value: 4560 → 4561 → 4562

Parity: odd

Prime: Yes

Previous Prime: 4549

Next Prime: 4567

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 4561

Divisors: 1, 4561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111010001

Octal: 10721

Duodecimal: 2781

Hexadecimal: 11d1

Square: 20802721

Square Root: 67.53517601961218

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

Number of integer partitions of n with distinct differences between successive parts. A325325

a(n) = 2·n² - n + 1. A130883

Smallest palindrome greater than n in bases n and n+1. A48268

Centered 24-gonal numbers. A69190

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

Compound filter: a(n) = P(A003557(n), A048250(n)), where P(n,k) is sequence A000027 used as a pairing function. A291750

Class 5+ primes (for definition see A005105). A81633

a(n) = 3·n² - 2. A100536

Primes such that the sum of the predecessor and successor primes is divisible by 43. A113158

a(n) = n-th concentric 12-gonal number. A195143