Properties of the Number 6445

Six Thousand Four Hundred Forty-Five

Basics

Value: 6444 → 6445 → 6446

Parity: odd

Prime: No

Previous Prime: 6427

Next Prime: 6449

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 1289

Divisors: 1, 5, 1289, 6445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100101101

Octal: 14455

Duodecimal: 3891

Hexadecimal: 192d

Square: 41538025

Square Root: 80.2807573457052

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 ∏_{r not a perfect power} 1/(1 - x^r). A305631

Numbers k such that k concatenated with k 1's is a prime. A68817

Number of even parts in all partitions of n into distinct parts. A116680

Number of digits in the decimal expansion of the number of partitions of 2ⁿ. A129490

Number of partitions of n into terms of (1,4)-Ulam sequence, cf. A003666. A199120

Semiprimes p such that next semiprime after p is p + 10. A217030

Minimal positive solution a(n) of Diophantine equation a(n)² - a(n)*b(n) - G(n)*b(n)² = +1 or -1 with G(n) := A078358(n). The companion sequence is b(n)=A077058(n). A77057

Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 11. A146335

2-comma numbers: n occurs in the sequence S[k+1] = S[k] + 10·last_digit(S[k-1]) + first_digit(S[k]) for two different splittings n=concat(S[0],S[1]). A166512

a(n) = 5·n² - n + 1. A172043