Properties of the Number 83507

Eighty-Three Thousand Five Hundred Seven

Basics

Value: 83506 → 83507 → 83508

Parity: odd

Prime: No

Previous Prime: 83497

Next Prime: 83537

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 113 × 739

Divisors: 1, 113, 739, 83507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011000110011

Octal: 243063

Duodecimal: 403AB

Hexadecimal: 14633

Square: 6973419049

Square Root: 288.9757775316125

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 multisets of nonempty words with a total of n letters over quaternary alphabet containing the fourth letter such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293799

Floor(sqrt(2·3ⁿ)). A221944

Number of length 4 arrays x(i), i=1..4 with x(i) in i..i+n and no value appearing more than 3 times. A250362

Numbers n such that A118799(n) = 0. A118578

Triangle read by rows where the n-th row contains all distinct numbers that can be obtained as the product of three distinct numbers chosen from [1..n]. A83507

Number of n X 3 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 4 binary array having nonzero determinant, with rows and columns of the latter in lexicographically nondecreasing order. A227555