ℕ atory
Play Now

Properties of the Number 10182

Ten Thousand One Hundred Eighty-Two

Basics

Value: 10181 → 10182 → 10183

Parity: even

Prime: No

Previous Prime: 10181

Next Prime: 10193

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1697

Divisors: 1, 2, 3, 6, 1697, 3394, 5091, 10182

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011111000110

Octal: 23706

Duodecimal: 5A86

Hexadecimal: 27c6

Square: 103673124

Square Root: 100.90589675534329

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+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A253749
Numbers which are the sum of their proper divisors containing the digit 9. A59468
T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A304156
Total number of parts in all partitions of n with at least one distinct part. A220477
T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A305509
Numbers n such that n2 + 1 is divisible by a 4th power. A218563
Number of partitions of n having standard deviation σ > 3. A238655
Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence where repeated terms are admitted. A319718
Numbers k such that φ(k) + prime(k) is a triangular number. A115908
Expansion of ∏1 <= i < j (1 + xi·j). A321286