Properties of the Number 38321

Thirty-Eight Thousand Three Hundred Twenty-One

Basics

Value: 38320 → 38321 → 38322

Parity: odd

Prime: Yes

Previous Prime: 38317

Next Prime: 38327

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 38321

Divisors: 1, 38321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010110110001

Octal: 112661

Duodecimal: 1A215

Hexadecimal: 95b1

Square: 1468499041

Square Root: 195.757503049053

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern=[6,2,4]; short d-string notation of pattern = [624]. A78853

Primes of form n² + 4096. A256836

Number of polynomials a_k*x^k + ... + a₁*x + a₀ with k > 0, integer coefficients and only non-multiple positive integer roots and a₀ = pⁿ (p is a prime). A248956

Primes equal to a pentagonal number plus 1. A285789

Partial sums of binary rooted tree numbers. A14167

a(n) = prime(k) with k = n² + prime(n)². A243892

Values of abs(P(x)), with P(x) = (1/72)*x⁶ + (1/24)*x⁵ - (1583/72)*x⁴ - (3161/24)*x³ + (200807/36)*x² + (97973/3)*x - 11351, for -45 <= x <= 12, sorted by size. All values in the given range are prime. A330364

Column 3 of triangle A091602. A91606

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood. A271456

Primes p from A031924 such that A052180(primepi(p)) = 19. A52235