Properties of the Number 28537

Twenty-Eight Thousand Five Hundred Thirty-Seven

Basics

Value: 28536 → 28537 → 28538

Parity: odd

Prime: Yes

Previous Prime: 28517

Next Prime: 28541

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 28537

Divisors: 1, 28537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111101111001

Octal: 67571

Duodecimal: 14621

Hexadecimal: 6f79

Square: 814360369

Square Root: 168.92897915988246

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=[4, 6, 2]; short d-string notation of pattern = [462]. A78851

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors. A282862

List of primitive prime divisors of the numbers (3^k-1)/2 (A003462) for k>=2, in order of their occurrence. A129733

a(n) = 25·n²/2 - 11·n/2 + 1. A383465

Primes p(x) satisfying the following conditions: (a) A082882(x)=1; (b) {p(x),p(x+1)} are not twin primes; (c) values of A075860(j) for j composites between these two non-twin primes are identical. A82883

Primes p such that the sum of the digits of p is not prime, but the sum of each digit raised to the 4th power is prime. A91368

Number of length-4 0..n arrays with no repeated value differing from the previous repeated value by one. A269495

Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors. A282858

Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors. A282859

Primes p such that A001414(p+q) is the square of a prime, where q is the next prime after p. A342830