Properties of the Number 93537

Ninety-Three Thousand Five Hundred Thirty-Seven

Basics

Value: 93536 → 93537 → 93538

Parity: odd

Prime: No

Previous Prime: 93529

Next Prime: 93553

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 547

Divisors: 1, 3, 9, 19, 57, 171, 547, 1641, 4923, 10393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110101100001

Octal: 266541

Duodecimal: 46169

Hexadecimal: 16d61

Square: 8749170369

Square Root: 305.83819251362314

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 pairs (y, v) of integer partitions of n where the length of v equals the number of distinct parts in y. A355385

Number of (n+2) X 9 0..1 matrices with each 3 X 3 subblock idempotent. A224558

Number of (2+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250814

T(n,k)=Number of 0..k arrays of length n with no adjacent pair equal to its immediately preceding adjacent pair, and new values introduced in 0..k order. A212829

Number of n-digit Fibomorphic numbers, i.e., numbers m such that Fibonacci(m) ends in m. A93537