Properties of the Number 84351

Eighty-Four Thousand Three Hundred Fifty-One

Basics

Value: 84350 → 84351 → 84352

Parity: odd

Prime: No

Previous Prime: 84349

Next Prime: 84377

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 31 × 907

Divisors: 1, 3, 31, 93, 907, 2721, 28117, 84351

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100101111111

Octal: 244577

Duodecimal: 40993

Hexadecimal: 1497f

Square: 7115091201

Square Root: 290.43243620504927

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 T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive pattern 1324; triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2-1)), read by rows. A264173

Column 7 of triangle A055898. A55903

Number of permutations of [n] with exactly two (possibly overlapping) occurrences of the consecutive pattern 1324. A264175

Irregular triangle read by rows, where the n-th row gives the number of steps in the hydra game when the initial hydra is each of the A000108(n) ordered trees with n edges (ordered by lexicographic order of their corresponding Dyck words as in A063171) and new heads are grown to the right. A372592

Length of period of sequences r(k,n)=floor(sin(1)*k!)-n·floor(sin(1)*k!/n) when n is fixed. A84351

Decimal expansion of Catalan - π²/16 + π*log(2)/4. A91475