Properties of the Number 10185

Ten Thousand One Hundred Eighty-Five

Basics

Value: 10184 → 10185 → 10186

Parity: odd

Prime: No

Previous Prime: 10181

Next Prime: 10193

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 97

Divisors: 1, 3, 5, 7, 15, 21, 35, 97, 105, 291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111001001

Octal: 23711

Duodecimal: 5A89

Hexadecimal: 27c9

Square: 103734225

Square Root: 100.92076099594176

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

Coefficient of x⁴ in expansion of (1+x+x²)ⁿ. A5712

a(n) = n³ - n² + n - 1 = (n-1) * (n² + 1). A62158

Numbers k > 1 such that, in base 4, k and k² contain the same digits in the same proportion. A61658

a(1) =5, a(n) = smallest multiple of a(n-1) (not equal to 10^k*a(n-1)) obtained by inserting digits anywhere in a(n-1). A80490

Starting numbers for which the RATS sequence has eventual period 14. A114615

a(n) = 104·n + 9977. A126978

The following triangle is based on Pascal's triangle. The r-th term of the n-th row is sum of C(n,r) successive integers so that the sum of all the terms of the row is (2ⁿ)*(2ⁿ+1)/2, the 2ⁿ -th triangular number. Sequence contains the triangle read by rows. A112358

a(n) = n*(17·n - 13)/2. A180232

Triangle of coefficients of polynomials v(n,x) jointly generated with A210557; see the Formula section. A210558

Number of primes p such that sqrt(q) - sqrt(p) > 1/n, where q is the prime after p. A218015