Properties of the Number 38693

Thirty-Eight Thousand Six Hundred Ninety-Three

Basics

Value: 38692 → 38693 → 38694

Parity: odd

Prime: Yes

Previous Prime: 38677

Next Prime: 38699

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 38693

Divisors: 1, 38693

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011100100101

Octal: 113445

Duodecimal: 1A485

Hexadecimal: 9725

Square: 1497148249

Square Root: 196.70536342458993

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

Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide. A210242

Expansion of (1/(1 - x))*∏_k>=1 1/(1 - x^k)^p(k), where p(k) is the number of partitions of k (A000041). A291552

a(n) = ∑_k=1..n k²*tau₃(k), where tau₃ is A007425. A319088

Primes p such that 47^p-1 == 1 + A·p (mod p²) and |A/p| is a new record low. A338646

Numbers whose concatenation of prime factors (with multiplicity) is a square. A38693