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Properties of the Number 6378

Six Thousand Three Hundred Seventy-Eight

Basics

Value: 6377 → 6378 → 6379

Parity: even

Prime: No

Previous Prime: 6373

Next Prime: 6379

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1063

Divisors: 1, 2, 3, 6, 1063, 2126, 3189, 6378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011101010

Octal: 14352

Duodecimal: 3836

Hexadecimal: 18ea

Square: 40678884

Square Root: 79.86238163240563

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

Expansion of ∏m >= 1 (1 + xm); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9
Number of ways to partition 2n+1 into distinct positive integers. A78408
Number of palindromic and unimodal compositions of n. Equivalently, the number of orbits under conjugation of even nilpotent n X n matrices. A96441
Number of partitions of n into odd parts in which the largest part occurs only once. A117409
Expansion of q-1/24 (m (1-m) / 16)1/24 in powers of q, where m = k2 is the parameter and q is the nome for Jacobian elliptic functions. A81360
Number of non-biquanimous strict integer partitions of n. A371794
Number of (undirected) Hamiltonian paths on the 4 X n knight graph. A79137
Number of ways to split a strict integer partition of n into consecutive subsequences with equal sums. A318683
Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1. A113746
G.f. A(x) satisfies: A(x) = A(x2 + x3) / x. A350432