Properties of the Number 32441

Thirty-Two Thousand Four Hundred Forty-One

Basics

Value: 32440 → 32441 → 32442

Parity: odd

Prime: Yes

Previous Prime: 32429

Next Prime: 32443

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 32441

Divisors: 1, 32441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111010111001

Octal: 77271

Duodecimal: 16935

Hexadecimal: 7eb9

Square: 1052418481

Square Root: 180.1138528820035

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

Sum of the sizes of the Durfee squares of all partitions of n. A115995

Expansion of g.f. (x²+x+1)*(2·x²+2·x+1)*(x-1)²/((1-x²-2·x³)*(x⁴+1)). A107850

a(n) = A273059(4n+3). A275919

Primes of the form 3·m² - 7. A201718

Numbers n such that triangular numbers T(n), T(n+1) and T(n+2) are 3-almost primes. A255200

Primes that are the concatenation of a square and a prime that is the concatenation of two squares. A364359

Smallest prime in n-th shell of prime spiral. A53998

The 10ⁿ-th twin prime, A001097(10ⁿ). A147797

Primes of the form n² + π(n). A228865

a(1) = 3. For n > 1, Ulam's spiral is started with a(n-1), and the primes p on the NE spoke are considered. a(n) is the minimal p that is the lesser of a twin prime pair. A163586