Properties of the Number 8054

Eight Thousand Fifty-Four

Basics

Value: 8053 → 8054 → 8055

Parity: even

Prime: No

Previous Prime: 8053

Next Prime: 8059

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 4027

Divisors: 1, 2, 4027, 8054

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101110110

Octal: 17566

Duodecimal: 47B2

Hexadecimal: 1f76

Square: 64866916

Square Root: 89.74408058473828

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

Smallest even k such that the pair {k-3,k-1} is not a twin prime pair and lpf(k-1) > lpf(k-3) >= prime(n), where lpf = least prime factor (A020639). A242720

Smallest even number k such that lpf(k-3) = prime(n) while lpf(k-1) > lpf(k-3), where lpf=least prime factor (A020639). A242490

a(n) = ∑_k=1..n floor(n/k)⁵. A318744

Sum over all peaks of Dyck paths of semilength n of the arithmetic mean of the·and y coordinates. A258431

Number of distinct means of subsets of {1..n}, where {} has mean 0. A327474

Numbers k such that A118255(k) is prime. A118257

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n floor(n/j)^k. A344725

A self-generating sequence: every positive integer occurs as a(i)-a(j) for a unique pair i,j. A1856

Eighth column of triangle A055249. A55251

Numbers k such that [r[s·k]] - [s[r·k]] = -2, where r = sqrt(2), s=sqrt(3), and [ ] = floor. A259584