Properties of the Number 21842

Twenty-One Thousand Eight Hundred Forty-Two

Basics

Value: 21841 → 21842 → 21843

Parity: even

Prime: No

Previous Prime: 21841

Next Prime: 21851

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 67 × 163

Divisors: 1, 2, 67, 134, 163, 326, 10921, 21842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101010010

Octal: 52522

Duodecimal: 10782

Hexadecimal: 5552

Square: 477072964

Square Root: 147.7903921099068

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 partitions p of n such that the number of numbers having multiplicity 1 in p is a part or the number of numbers having multiplicity > 1 is a part. A239737

The main diagonal of the successive differences of A154127. A154570

Number of distinct board states reachable in n jumps, in English Peg Solitaire. A335656

Triangle read by rows: T(n,k) is the number of permutations p of [n] for which k is the smallest among the positive differences p(i+1) - p(i); k=0 for the reversal of the identity permutation (0<=k<=n-1). A180190

Main diagonal of table A083050. A83052

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 3 6 or 7. A252295

Numbers k such that the total number of consecutive runs of zeros of length m in every binary expansion from 1 to k, is even, for all m ≠ floor(log₂(k)). A360320

Row sums of array T as in A054110. A54111

Number of 0..n arrays of length 3 with 0 never adjacent to n. A212836

Least number m such that there exist exactly n pairs of numbers (a,b), 0 < a < b < m, such that a+b, a+m, and b+m are all squares. A246766