Properties of the Number 8055

Eight Thousand Fifty-Five

Basics

Value: 8054 → 8055 → 8056

Parity: odd

Prime: No

Previous Prime: 8053

Next Prime: 8059

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 179

Divisors: 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101110111

Octal: 17567

Duodecimal: 47B3

Hexadecimal: 1f77

Square: 64883025

Square Root: 89.74965180990955

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

a(n) = n*(4·n-1). A33991

Numbers k with the property that it is possible to write the base 2 expansion of k as concat(a₂,b₂), with a₂>0 and b₂>0 such that, converting a₂ and b₂ to base 10 as a and b, we have σ(a + b) = σ(k). A258843

Expansion of ∏_k>=1 (1 + x^k)^{9^(k-1}). A343366

a(1)=a(2)=0; thereafter a(n) = a(n-2)+A238828(n-1)+A238827(n). A238830

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p that are < p/2. A282039

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 734", based on the 5-celled von Neumann neighborhood. A283865

Numbers n such that ψ(n) = ψ(n+1), where ψ(n) is Dedekind ψ function (A001615). A291043

a(n) = 4·n² + 79·n + 390. A157434

Number of partitions of n such that m(1) = m(3), where m = multiplicity. A240058

We have one bead labeled i for every i=1, 2, ...; a(n) = number of necklaces that can be made using any subset of the first n beads. A116723