Properties of the Number 6300

Six Thousand Three Hundred

Basics

Value: 6299 → 6300 → 6301

Parity: even

Prime: No

Previous Prime: 6299

Next Prime: 6301

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 ² × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010011100

Octal: 14234

Duodecimal: 3790

Hexadecimal: 189c

Square: 39690000

Square Root: 79.37253933193772

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

Primorial inflation of n: Fully multiplicative with a(p) = p# for prime p, where x# is the primorial A034386(x). A108951

The minimal numbers: sequence A005179 arranged in increasing order. A7416

Number of compositions of n such that every part occurs with the same multiplicity. A98504

If 2n = 2^e1 + 2^e2 + ... + 2^ek [e1 .. ek distinct], then a(n) = A002110(e1) * A002110(e2) * ... * A002110(ek). A283477

Least integer of each prime signature, in graded (reflected or not) colexicographic order of exponents. A36035

Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k. A129575

Canonical partition sequence (see A080577) encoded by prime factorization. The partition [p1,p2,p3,...] with p1 >= p2 >= p3 >= ... is encoded as 2^p1 * 3^p2 * 5^p3 * ... . A63008

Filter-sequence for primorial base: least number with the same prime signature as A276086(n). A278226

Triangle T(n,k), 0 <= k <= n, read by rows given by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = 3·T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-1) + T(n-1,k) + T(n-1,k+1) for k >= 1. A126954

Numbers that are products of distinct primorial numbers (see A002110). A129912