ℕ atory
Play Now

Properties of the Number 21354

Twenty-One Thousand Three Hundred Fifty-Four

Basics

Value: 21353 → 21354 → 21355

Parity: even

Prime: No

Previous Prime: 21347

Next Prime: 21377

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 3559

Divisors: 1, 2, 3, 6, 3559, 7118, 10677, 21354

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001101101010

Octal: 51552

Duodecimal: 10436

Hexadecimal: 536a

Square: 455993316

Square Root: 146.1300790391903

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

Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit. A178475
Fixed points of the function A260529(n) = concatenation of the positions of digits 9, 8,..., 0 in the decimal representation of n, using 1 for the rightmost digit etc., skipping digits which don't occur. A260275
Numbers n which divide A260521(n), the concatenation of the positions of the digits 9, 8, ..., 0 in the decimal representation of n, where positions are counted from the right, and 0 if a given digit does not occur. A260386
Number of compositions of n with strictly increasing run-lengths. A333192
Number of permutations in Sn avoiding 21{bar 3}54 (i.e., every occurrence of 2154 is contained in an occurrence of a 21354). A117106
Number of permutations in Sn avoiding 21{bar 3}54 (i.e., every occurrence of 2154 is contained in an occurrence of a 21354) and such that the graph corresponding to the permutation is connected (see "Forest-like permutations" below). A117107
Positive numbers k such that k and 2·k are anagrams in base 6 (written in base 6). A23064
Number of binary strings of length n with no substrings equal to 0000 0011 or 1100. A164430
Decimal representation of permutations of lengths 1, 2, 3, ... A306428
Total number of ordered k-tuples (k=0..n) of distinct elements from an n-element set: a(n) = ∑k=0..n n!/k!. A522