Properties of the Number 42985

Forty-Two Thousand Nine Hundred Eighty-Five

Basics

Value: 42984 → 42985 → 42986

Parity: odd

Prime: No

Previous Prime: 42979

Next Prime: 42989

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 8597

Divisors: 1, 5, 8597, 42985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011111101001

Octal: 123751

Duodecimal: 20A61

Hexadecimal: a7e9

Square: 1847710225

Square Root: 207.32824216685964

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 strict partitions of 2n that include a partition of n. A237258

a(n) = a(n-2) + 2·a(n-3) + a(n-4). A36605

Trisection of A007294. A73470

a(n) = 2·a(n-1) - a(n-2) + a(n-4) for n>3, a(0)=0, a(1)=a(2)=2, a(3)=3. A286350

a(n) = ∑_k=0..n (-1)^n-k * k^k*(n-k). A349894

Lower (1/2)-midsequence of F(n) and F(n+4), where F = A000045 (Fibonacci numbers); see Comments. A390350

a(n) = a(n-2) - 2·a(n-3) + a(n-4) for n>3, a(0)=0, a(1)=2, a(2)=-1, a(3)=3. A286390

G.f. A(x) satisfies: A(x) = x·exp(2 * ∑_k>=1 (-1)^k * A(x^k) / k). A345884

a(n) = a(n-2)+a(n-3)+a(n-4)+a(n-5)+2·a(n-6)+a(n-7). A109541

Expansion of x*(1 - x + 2·x³ - x⁴)/((1 - x)*(1 + x)*(1 - x + x²)*(1 - x - x²)). A279890