Properties of the Number 10179

Ten Thousand One Hundred Seventy-Nine

Basics

Value: 10178 → 10179 → 10180

Parity: odd

Prime: No

Previous Prime: 10177

Next Prime: 10181

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 13 × 29

Divisors: 1, 3, 9, 13, 27, 29, 39, 87, 117, 261

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111000011

Octal: 23703

Duodecimal: 5A83

Hexadecimal: 27c3

Square: 103612041

Square Root: 100.89103032480142

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

Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice. A5902

Array read by antidiagonals upwards where A(n, k) is the number of non-isomorphic multiset partitions of weight n with k levels of brackets. A306186

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251268

a(n) = n*(n - 1)*(n + 2)/2. A77414

a(n) = n*(14·n - 1). A195024

Least number whose digits can be used to form exactly n different primes (not necessarily using all digits). A76449

T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock containing fewer than two 1s. A184207

27-gonal numbers: a(n) = n*(25·n-23)/2. A255186

Expansion of (1-2·x)/(1 - 3·x - x² + 2·x³). A52550

T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and vertical neighbors in a random 0..1 nXk array. A220070