Properties of the Number 6613

Six Thousand Six Hundred Thirteen

Basics

Value: 6612 → 6613 → 6614

Parity: odd

Prime: No

Previous Prime: 6607

Next Prime: 6619

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 17 × 389

Divisors: 1, 17, 389, 6613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111010101

Octal: 14725

Duodecimal: 39B1

Hexadecimal: 19d5

Square: 43731769

Square Root: 81.32035415564789

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293076

a(n) = 8·n² - 4·n + 1. A80856

Powers of cube root of 14 rounded to nearest integer. A18016

Powers of cube root of 14 rounded down. A18015

Number of integer partitions of n whose product is divisible by the sum of primes of their parts. A330954

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -1,1 0,-1 0,1 or 1,0. A264506

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Smallest number m such that m²+1 is divisible by A002144(n)² (= squares of primes congruent to 1 mod 4). A59321

Odd interprimes divisible by 17. A124620

Number of paths from (0,0) to (n+2,n) using only up and right steps and avoiding two or more consecutive moves up or three or more consecutive moves right. A177787