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Properties of the Number 8173

Eight Thousand One Hundred Seventy-Three

Basics

Value: 8172 → 8173 → 8174

Parity: odd

Prime: No

Previous Prime: 8171

Next Prime: 8179

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 743

Divisors: 1, 11, 743, 8173

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111111101101

Octal: 17755

Duodecimal: 4891

Hexadecimal: 1fed

Square: 66797929

Square Root: 90.40464589831653

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

Number of combinations which can be taken from the integer partitions of n. Total number of cases in the (n,m)-fragmentation process. A122768
T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nXk array. A219410
a(n) = a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6) + a(n-7). A107479
Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k). A96926
T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern abba (with a≠b) and new values 0..k introduced in 0..k order. A243389
Number of partitions of 2·n into parts with multiplicity <= n. A232623
Expansion of 1/(1-x2-x3-x4-x5-x6-x7). A13984
Number of n X 4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207107
a(n) = A082613(n) divided by the n-th power that divides it. A82614
Number of runs in all Fibonacci binary words of length n. A Fibonacci binary word is a binary word having no 00 subword. A run is a maximal sequence of consecutive identical letters. A129715