Properties of the Number 8445

Eight Thousand Four Hundred Forty-Five

Basics

Value: 8444 → 8445 → 8446

Parity: odd

Prime: No

Previous Prime: 8443

Next Prime: 8447

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 563

Divisors: 1, 3, 5, 15, 563, 1689, 2815, 8445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011111101

Octal: 20375

Duodecimal: 4A79

Hexadecimal: 20fd

Square: 71318025

Square Root: 91.89668111526117

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 partitions of n in which the sequence of the sum of the same summands is nondecreasing. A304405

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique value such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 3. A50032

a(n) = a(n-1) + a(m) for n >= 3, where m = 2·n - 3 - 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) = 2. A50048

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 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) = 3. A50064

Numbers k such that k*(k+7) gives the concatenation of two numbers m and m+3. A116311

Composites that are the sum of two, three, four and five consecutive composite numbers. A151745

Sums of three Mersenne primes. A174055

Expansion of e.g.f. exp(x * (2 + exp(x))). A367874

Numbers n such that both n⁴ + 2 and n⁴ - 2 are prime. A71351

G.f. satisfies: 30·A(x) = 29 + 125·x + A(x)⁵, starting with [1,5,10]. A120598