7176
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 12984
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2112
- Möbius Function
- 0
- Radical
- 1794
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=35A000125
- Number of self-converse relations on n points.at n=5A002500
- Least k such that the first k terms of the Kolakoski sequence (A000002) contain n more 2's than 1's.at n=7A025503
- a(n) = T(2*n-1, n-1), T given by A026519.at n=7A026528
- a(n) = T(n, floor(n/2)), T given by A026519.at n=15A026530
- a(n) = T(n, floor(n/2)), where T is given by A026552.at n=15A026563
- Character of extremal vertex operator algebra of rank 18.at n=3A028541
- If there were a 9-dimensional unimodular lattice with minimal norm 2, this would be its theta series; however, no such lattice exists.at n=6A032800
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=35A033568
- a(n) is twice the coefficient of the radical part in the fundamental unit of Q(sqrt(A000037(n))) where A000037 lists the nonsquare numbers (Version 1).at n=39A048942
- 24-gonal numbers: a(n) = n*(11*n-10).at n=26A051876
- a(n+1) = a(n)-th composite and a(1) = 13.at n=28A059408
- Number of log-concave compositions (ordered partitions) of n.at n=39A069916
- a(n) = n*(n - 1)*(n + 2)/2.at n=23A077414
- Consider the triangle in which the j-th row begins with prime(j) and is the arithmetic progression with least common difference such that the remaining j-1 terms are composite and not divisible by prime(j). Sequence gives last term in each row.at n=25A095182
- Structured truncated dodecahedral numbers.at n=7A100153
- a(n) = (4*n^3 + 6*n^2 + 8*n + 6)/3.at n=17A100504
- Records in A105822.at n=47A104664
- Sum of the sides of ordered 2 X 2 prime squares.at n=38A105088
- Integers k such that 10^k - 39 is prime.at n=15A108365