Properties of the Number 10613

Ten Thousand Six Hundred Thirteen

Basics

Value: 10612 → 10613 → 10614

Parity: odd

Prime: Yes

Previous Prime: 10607

Next Prime: 10627

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 10613

Divisors: 1, 10613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101110101

Octal: 24565

Duodecimal: 6185

Hexadecimal: 2975

Square: 112635769

Square Root: 103.01941564578979

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 positive subset sums of integer partitions of n. A276024

Number of separable integer partitions of n without an alternating permutation. A345166

Primes of the form p² + 4, where p is prime. A45637

Primes remaining prime if any digit is deleted (zeros allowed). A51362

Prime numbers ending in the prime number 13. A244763

Primes of form k² + 4. A5473

Numbers k such that (6^k - 1)/5 is prime. A4062

T(n,k)=Number of strings of n numbers x(i) in -k..k with sums of x(i) and of x(i)*x(i+1) both zero. A183944

Least prime of the form prime(n)² + k², or 0 if none. A240130

Smallest prime factor of A104357(n) = A104350(n) - 1. A104358