Properties of the Number 6289

Six Thousand Two Hundred Eighty-Nine

Basics

Value: 6288 → 6289 → 6290

Parity: odd

Prime: No

Previous Prime: 6287

Next Prime: 6299

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 19 × 331

Divisors: 1, 19, 331, 6289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1100010010001

Octal: 14221

Duodecimal: 3781

Hexadecimal: 1891

Square: 39551521

Square Root: 79.30321557162736

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

a(n) = (4·n³-3·n²+5·n-3)/3. A177342

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37). A250240

G.f. A(x) satisfies: 1 = ...(((((A(x) - x)^1/2 - x²)^1/2 - x³)^1/2 - x⁴)^1/2 - x⁵)^1/2 -...- xⁿ)^1/2 -..., an infinite series of nested square roots. A274965

a(1) = 2, and for n>1: a(n) = prime(A251719(n)) * prime(A251719(n) + n - 2), where prime(n) gives the n-th prime. A251724

a(n) = n·prime(prime(n)). A80697

Expansion of 1/(1 - x) * ∏_k>=0 1/(1 - x^{3^k})^{3^(k+1}). A321344

Discriminants of real quadratic fields with class group C₃ and form class group C₆. A391532

Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I·11)/61. A84804

Numbers k such that k⁴⁰⁹⁶ + (k+1)⁴⁰⁹⁶ is prime. A274236

Smallest "anti-Carmichael pseudoprime" to base n. A316940