Properties of the Number 23289

Twenty-Three Thousand Two Hundred Eighty-Nine

Basics

Value: 23288 → 23289 → 23290

Parity: odd

Prime: No

Previous Prime: 23279

Next Prime: 23291

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 1109

Divisors: 1, 3, 7, 21, 1109, 3327, 7763, 23289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101011111001

Octal: 55371

Duodecimal: 11589

Hexadecimal: 5af9

Square: 542377521

Square Root: 152.60733927305068

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

G.f. satisfies: A(x) = (1 + x*(1-x)*A(x)) * (1 + x²*A(x)). A216604

29-gonal numbers: a(n) = n*(27·n-25)/2. A255187

Terms of A005132 corresponding to the values in A330788. A330789

m for which p(m) is the least prime dividing #p(n) + 1, i.e., primorial n-th prime augmented by 1 (A005234). A68488

Numbers k such that 71·2^k+1 is prime. A32385

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, -1), (1, -1, 0), (1, 1, 0)}. A149175

Number of ASCII letter 'A' bytes that when compressed with zlib generate a new record longest compressed byte stream. A375585

G.f. A(x) satisfies: A(x)² - 6·A(x)³ = A(x²). A274737

Primes that remain prime through 3 iterations of function f(x) = 6x + 7. A23289

Near-repdigit primes that are also deletable primes. A187867