Properties of the Number 28597

Twenty-Eight Thousand Five Hundred Ninety-Seven

Basics

Value: 28596 → 28597 → 28598

Parity: odd

Prime: Yes

Previous Prime: 28591

Next Prime: 28603

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 28597

Divisors: 1, 28597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111110110101

Octal: 67665

Duodecimal: 14671

Hexadecimal: 6fb5

Square: 817788409

Square Root: 169.10647533432893

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

Primes of form n² + 28561. A256841

Rectangular table, read by ascending antidiagonals, in which the n-th row o.g.f. R(n,x) satisfies: [x^m] exp( m*(m+1) * x·R(n,x)ⁿ ) / R(n,x)^m+1 = 0 for m >= 1, n >= 0. A393620

O.g.f. A(x) satisfies: [xⁿ] exp( n*(n+1) * x·A(x)² ) / A(x)ⁿ⁺¹ = 0 for n > 0. A393622

Smaller member p of a pair (p,p+6) of consecutive primes in different centuries. A160370

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A316209

The first prime of 8 consecutive primes a, b, c, d, e, f, g, h such that a + g = c + e and b + h = d + f. A292618

Numbers n such that the smallest possible number of multiplications required to compute xⁿ is by 2 less than the number of multiplications obtained by Knuth's power tree method. A115614

Primes p such that (p¹²⁸ + 1)/2 is prime. A341230

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 90 ones. A31858

(1, 3, 5, 7, 9, ...) convolved with (1, 0, 3, 5, 7, 9, ...). A179903