Properties of the Number 13984

Thirteen Thousand Nine Hundred Eighty-Four

Basics

Value: 13983 → 13984 → 13985

Parity: even

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 19 × 23

Divisors: 1, 2, 4, 8, 16, 19, 23, 32, 38, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11011010100000

Octal: 33240

Duodecimal: 8114

Hexadecimal: 36a0

Square: 195552256

Square Root: 118.25396399275586

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 containing all of their distinct multiplicities. A325705

a(1) = 1; thereafter a(n+1) = floor(sqrt(2·a(n)*(a(n)+1))). A1521

a(n) = n*(14·n - 11). A195021

Numbers which are representable as a sum of nineteen but no fewer consecutive nonnegative integers. A270303

Numbers k such that the odd part of σ(σ(k)) is equal to the odd part of σ(k). A353365

a(n) = (n-2)*(14·n-39) for n > 2, otherwise a(n) = n. A195030

At stage 1, start with a unit equilateral triangle. At each successive stage add 3*(n-1) new triangles around outside with vertex-to-vertex contacts. Sequence gives number of triangles at n-th stage. A269064

McKay-Thompson series of class 50a for Monster. A58703

Numbers k such that A360119(k) > 1, but which have no divisors d > 1 such that d+1 is also a divisor. A360129

Least k such that k and 4k are anagrams in base n (written in base 10). A23096