Properties of the Number 11617

Eleven Thousand Six Hundred Seventeen

Basics

Value: 11616 → 11617 → 11618

Parity: odd

Prime: Yes

Previous Prime: 11597

Next Prime: 11621

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11617

Divisors: 1, 11617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10110101100001

Octal: 26541

Duodecimal: 6881

Hexadecimal: 2d61

Square: 134954689

Square Root: 107.78218776773832

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

Primes with 10 as smallest positive primitive root. A61323

Primes of the form 22k+1 generated recursively. Initial prime is 23. General term is a(n) = Min {p is prime; p divides (R¹¹ - 1)/(R - 1); p == 1 (mod 11)}, where Q is the product of previous terms in the sequence and R = 11·Q. A124993

Primes of form n² + 2401. A256835

Primes of the form 9x² + 6xy + 1849y². A244019

a(n) = 6·n² + 1. A227776

Primes having only {1, 6, 7} as digits. A260891

Centered 22-gonal numbers. A69173

Primes p such that x⁸ = 2 has a solution mod p, but x^8² = 2 has no solution mod p. A70184

Total number of parts coprime to n in the partitions of n into 6 parts. A363324

Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero. A88291