Properties of the Number 38561

Thirty-Eight Thousand Five Hundred Sixty-One

Basics

Value: 38560 → 38561 → 38562

Parity: odd

Prime: Yes

Previous Prime: 38557

Next Prime: 38567

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 38561

Divisors: 1, 38561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011010100001

Octal: 113241

Duodecimal: 1A395

Hexadecimal: 96a1

Square: 1486950721

Square Root: 196.3695495742657

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

Quartan primes: primes of the form x⁴ + y⁴, x > 0, y > 0. A2645

Primes of form n² + 10000. A256838

Primes of form n² + 28561. A256841

T(n,k) = number of n X k 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224173

Primes that remain prime through 4 iterations of function f(x) = 9x + 10. A23327

Primes that remain prime through 5 iterations of function f(x) = 9x + 10. A23355

Primes of the form x⁴ + y⁴ with x² + y² and x+y also prime. A100268

a(n) is the minimal prime of the form 4k+1 for which s=A008784(n) is the minimal positive integer such that s·a(n)-floor(sqrt(s·a(n)))² is a square. A145215

Records in A079381. A79382

Number of n X 4 0..3 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A224169