Properties of the Number 8168

Eight Thousand One Hundred Sixty-Eight

Basics

Value: 8167 → 8168 → 8169

Parity: even

Prime: No

Previous Prime: 8167

Next Prime: 8171

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 1021

Divisors: 1, 2, 4, 8, 1021, 2042, 4084, 8168

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111101000

Octal: 17750

Duodecimal: 4888

Hexadecimal: 1fe8

Square: 66716224

Square Root: 90.37698822156003

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 n X n 0..k matrices whose square is also a 0..k matrix. A213990

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally. A253407

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁸ in powers of x. A1486

First element r of (-1)σ sociable triple (r,s,t): s=(-1)σ(r), t=(-1)σ(s), r=(-1)σ(t), where if x=Product p(i)^r(i), then (-1)σ(x)=Product(-1+(Sum p(i)^s(i), s(i)=1 to r(i))). A49057

Row sums of triangle A132731. A132732

Double, add 0, double, add 1, double, add 2, double, add 3, etc. A147678

Number of nonprime parts in the last section of the set of partitions of n. A144121

Total binary weight (cf. A000120) of all A005251(n) binary sequences of length n not containing any isolated 1's. A259966

Row sums of triangle A132823. A132824

Number of integers in n-th generation of tree T(1/3) defined in Comments. A274143