Properties of the Number 6426

Six Thousand Four Hundred Twenty-Six

Basics

Value: 6425 → 6426 → 6427

Parity: even

Prime: No

Previous Prime: 6421

Next Prime: 6427

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 × 17

Divisors: 1, 2, 3, 6, 7, 9, 14, 17, 18, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1100100011010

Octal: 14432

Duodecimal: 3876

Hexadecimal: 191a

Square: 41293476

Square Root: 80.16233529532433

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 integer partitions of n with (1) as many odd parts as odd conjugate parts and (2) as many even parts as even conjugate parts. A351976

Numbers of the form p³*q·r*s where p, q, r, and s are distinct primes. A179670

Numbers k such that σ(k) = ψ(k) + φ(k). A389478

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 2. A50047

a(n) = (2·n + 1)*(5·n + 1). A33571

Number of compositions of n with unique smallest part. A105039

Sum of the largest parts in the partitions of n into 8 parts. A308998

Relative of Hofstadter Q-sequence: a(n) = max(0, n+3201) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A373236

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁹ in powers of x. A1487

Number of plane binary trees whose right (or respectively: left) subtree is a unique "complete" tree of (2^m)-1 nodes with all the leaf-nodes at the same depth m and the left (or respectively: right) subtree is any plane binary tree of size n - 2^m + 1. A73268