Properties of the Number 8058

Eight Thousand Fifty-Eight

Basics

Value: 8057 → 8058 → 8059

Parity: even

Prime: No

Previous Prime: 8053

Next Prime: 8059

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 17 × 79

Divisors: 1, 2, 3, 6, 17, 34, 51, 79, 102, 158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101111010

Octal: 17572

Duodecimal: 47B6

Hexadecimal: 1f7a

Square: 64931364

Square Root: 89.76636341080105

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

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222986

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*(1-x⁴)). A2621

Positions of records in A213726. A218548

Numbers which are the roots of distinct not-previously-encountered side-trees ("tendrils") sprouting from the side of the infinite beanstalk (see A213730). A218612

Cascadence of (1+x)³; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0. A120919

G.f. satisfies: A(x) = G(x)³ * A(x⁴*G(x)⁹), where G(x) is the g.f. of the number of ternary trees (A001764): G(x) = 1 + x·G(x)³. A120920

Number of nX1 0..2 arrays with no more than floor(nX1/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order. A222364

Numbers n for which A020652(n)/A038567(n) = A182972(n)/A182973(n). A182974

Triangle of coefficients of polynomials u(n,x) jointly generated with A209136; see the Formula section. A209135

Number of ways to select 4 numbers from the set of the first n natural numbers avoiding 3-term arithmetic progressions. A300760