Properties of the Number 10168

Ten Thousand One Hundred Sixty-Eight

Basics

Value: 10167 → 10168 → 10169

Parity: even

Prime: No

Previous Prime: 10163

Next Prime: 10169

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 31 × 41

Divisors: 1, 2, 4, 8, 31, 41, 62, 82, 124, 164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110111000

Octal: 23670

Duodecimal: 5A74

Hexadecimal: 27b8

Square: 103388224

Square Root: 100.83650132764424

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

Four times second pentagonal numbers: a(n) = 2·n*(3·n+1). A33580

Number of parts that are visible in one of the three views of the section model of partitions version "tree" with n sections. A194805

Number of permutations p on the set [n] with the properties that abs(p(i)-i) <= 3 for all i, p(1) <= 2, and p(4) >= 2. A188495

Number of chiral pairs of color patterns (set partitions) for a row of length n using 6 or fewer colors (subsets). A320936

Numbers such that σ(n)² is divisible by UnitarySigma(n)*UnitaryPhi(n). A121556

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 5. A209990

Least number k such that the determinant of the circulant matrix formed by its decimal digits is equal to n·k. A323486

Number of 2-skinny Baxter slicings of size n. A342292

a(n) = floor( n*(n-1)*(n-2)/27 ). A11909

One third of the sum of the first n primes, when an integer. A112270