Properties of the Number 8749

Eight Thousand Seven Hundred Forty-Nine

Basics

Value: 8748 → 8749 → 8750

Parity: odd

Prime: No

Previous Prime: 8747

Next Prime: 8753

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 13 × 673

Divisors: 1, 13, 673, 8749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001000101101

Octal: 21055

Duodecimal: 5091

Hexadecimal: 222d

Square: 76545001

Square Root: 93.53608929178085

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

Number of separable partitions of n; see Comments. A325534

Largest number k such that the greatest prime factor of k² - 1 is prime(n). A175607

Numbers that are the sum of 5 positive 7th powers. A3372

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Irregular triangle of numbers k such that prime(n) is the largest prime factor of k² - 1. A223701

a(n) = ChebyshevT(3, n). A144129

Pierpont semiprimes: semiprimes of the form (2^K)*(3^L)+1. A113432

Number of integer partitions of n having more than one permutation with all equal run-lengths. A383090

Numbers k such that k⁸ == 1 (mod 9³). A56084

Numbers k such that k¹⁴ == 1 (mod 15³). A56087