Properties of the Number 32993

Thirty-Two Thousand Nine Hundred Ninety-Three

Basics

Value: 32992 → 32993 → 32994

Parity: odd

Prime: Yes

Previous Prime: 32987

Next Prime: 32999

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 32993

Divisors: 1, 32993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000011100001

Octal: 100341

Duodecimal: 17115

Hexadecimal: 80e1

Square: 1088538049

Square Root: 181.63975335812367

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

a(n) = 2ⁿ + n². A1580

Leyland primes: 3, together with primes of form x^y + y^x, for x > y > 1. A94133

Numbers k such that (18^k - 5^k)/13 is prime. A128353

Leyland numbers: 3, together with numbers expressible as n^k + kⁿ nontrivially, i.e., n,k > 1 (to avoid n = (n-1)¹ + 1^n-1). A76980

Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s. A385232

Primes in the sequence n² + 2ⁿ (A001580). A61119

Numbers of the form x^y + y^x, 1 < x < y. A173054

Least prime of the form x^y+y^x with x = A162488(n) > y > 1. A162490

Primes of the form q(p) + 1, where p is a prime and q(.) is the strict partition function (A000009). A234366

Smallest factor of 2²ⁿ⁺¹+(2n+1)². A109216