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Properties of the Number 13845

Thirteen Thousand Eight Hundred Forty-Five

Basics

Value: 13844 → 13845 → 13846

Parity: odd

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 13 × 71

Divisors: 1, 3, 5, 13, 15, 39, 65, 71, 195, 213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11011000010101

Octal: 33025

Duodecimal: 8019

Hexadecimal: 3615

Square: 191684025

Square Root: 117.66477807738389

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

Numbers k such that k and k+1 have 4 distinct prime factors. A140078
Numbers k such that k and k+1 each have at least 4 distinct prime factors. A321504
Numbers k such that k and 2·k, taken together are pandigital. A115922
Numbers k such that k and k+1 are the product of exactly four distinct primes. A318896
The number of P-positions in the game of Nim with up to 5 piles, allowing for piles of zero, such that the number of objects in the largest pile is n. A241731
Triangle T(n,k), 0<=k<=n, read by rows, given by [1,2,3,4,5,6,7,8,9,10,...] δ [1,1,6,6,15,15,28,28,...] where δ is the operator defined in A084938 . A130847
Numbers k such that k and k+1 both have 16 divisors. A274359
Indices where the cumulative sum of sin(2k+1)2k+1 reaches a record high value. A387706
Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a. A96031
a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/sin(n) > a(k)/sin(a(k)), so that a(1)/sin(a(1)) > a(2)/sin(a(2)) > ... > a(k)/sin(a(k)) > ... A172445