Properties of the Number 3096

Three Thousand Ninety-Six

Basics

Value: 3095 → 3096 → 3097

Parity: even

Prime: No

Previous Prime: 3089

Next Prime: 3109

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 43

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110000011000

Octal: 6030

Duodecimal: 1960

Hexadecimal: c18

Square: 9585216

Square Root: 55.641710972974224

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

sigma₃(n): sum of cubes of divisors of n. A1158

Number of distinct products i·j*k with 1 <= i < j < k <= n. A27430

The number k(GL(n,q)) of conjugacy classes in GL(n,q), q=5. A49315

Table T(n,k) by antidiagonals. T(n,k) is the number of length n primitive (=aperiodic or period n) k-ary words (n,k >= 1) which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A143325

Number of subsets of {1..n} such that only one set can be obtained by choosing a different prime factor of each element. A370584

a(n) = n³*∏_{distinct primes p dividing n} (1+1/p³). A65959

Expansion of 1/(1-2·x+x⁵). A107066

Numbers k such that 3^k + 22 is prime. A219042

T(n,k)=Number of length n+6 0..k arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms. A250373

Expansion of 1/(1 - x⁵ - x⁶). A17837