Properties of the Number 10166

Ten Thousand One Hundred Sixty-Six

Basics

Value: 10165 → 10166 → 10167

Parity: even

Prime: No

Previous Prime: 10163

Next Prime: 10169

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 13 × 17 × 23

Divisors: 1, 2, 13, 17, 23, 26, 34, 46, 221, 299

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110110110

Octal: 23666

Duodecimal: 5A72

Hexadecimal: 27b6

Square: 103347556

Square Root: 100.8265837961398

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

Positive integers n such that n¹⁴ + 1 is semiprime (A001358). A104335

Triangle T, read by rows, where T(n,k) = [Tⁿ](n-k-1,0); i.e., where row n of T equals the initial n terms of column 0 in matrix power Tⁿ, reversed and with an appended '1', for n>0, with T(0,0)=1. A167015

Column 0 of triangle T=A167015: a(n) = T(n,0) = [Tⁿ](n-1,0) for n>0 with a(0)=1. A167016

a(0) = 1, and for n > 0, a(n) = A019565(∑_i=0..n-1 a(i)), where A019565 is the base-2 exp-function. A376406

Sum of distinct prime factors of floor(π*10ⁿ), π=3.14.... A89286

Sum of all prime factors of floor(π*10ⁿ), π=3.14.... A89287

Twice 11-gonal numbers: a(n) = n*(9·n-7). A152995

Convolution of A006068 (inverse of Gray code) with itself: a(n) = ∑_k=1..n+1 A006068(k) * A006068(1+n-k). A268721

13 times pentagonal numbers: a(n) = 13·n*(3·n-1)/2. A153793

Even numbers k such that A103230(k) is a perfect square. A332531