Properties of the Number 11684

Eleven Thousand Six Hundred Eighty-Four

Basics

Value: 11683 → 11684 → 11685

Parity: even

Prime: No

Previous Prime: 11681

Next Prime: 11689

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 23 × 127

Divisors: 1, 2, 4, 23, 46, 92, 127, 254, 508, 2921

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10110110100100

Octal: 26644

Duodecimal: 6918

Hexadecimal: 2da4

Square: 136515856

Square Root: 108.09255293497328

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240394

Numbers that are the sum of nine fourth powers in nine or more ways. A345593

Numbers that are the sum of nine fourth powers in exactly nine ways. A345851

Number of ways to tile a 5 X 2n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point. A68924

a(n) = (a(n-1) + a(n-3))/gcd(a(n-1), a(n-3)) with a(0) =2, a(1) = 3, a(2) = 5. A214331

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) is not a part of p. A241736

Number of tree-partitions of a multiset whose multiplicities are the prime indices of n. A318847

Difference between sum of largest parts and sum of smallest parts of all partitions of n into an odd number of parts. A211870

Number of parts in all partitions of n in which no part occurs more than five times. A320608

Numbers k such that φ(k) < φ(k+1) < φ(k+2) < φ(k+3) where φ is the Euler totient function (A000010). A327880