5985
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 12480
- Proper Divisor Sum (Aliquot Sum)
- 6495
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2592
- Möbius Function
- 0
- Radical
- 1995
- Omega Function (Ω)
- 5
- 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
- 93
- 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
- no
- Odd
- yes
Appears in sequences
- Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=21A000332
- MacMahon's generalized sum of divisors function.at n=34A002127
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=17A002414
- a(n) = floor(n(n+2)(2n+1)/8).at n=28A002717
- Binomial coefficient C(3n, n-3).at n=4A004321
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=9A005231
- Odd primitive abundant numbers.at n=7A006038
- Number of intersections of diagonals in the interior of a regular n-gon.at n=20A006561
- E..g.f. exp(tanh(x)/exp(x)).at n=8A009276
- Binomial coefficient C(21,n).at n=4A010937
- Binomial coefficient C(21,n).at n=17A010937
- a(n) = binomial(n,17).at n=4A010970
- exp(sinh(x)+log(x+1))=1+2*x+3/2!*x^2+5/3!*x^3+13/4!*x^4+37/5!*x^5...at n=9A013013
- Expansion of e.g.f.: sec(log(x+1)-arcsin(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-525/7!*x^7...at n=8A013232
- Triangular array formed from odd elements to right of middle of rows of Pascal's triangle.at n=52A014475
- Odd octagonal numbers: (2n+1)*(6n+1).at n=22A014641
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=48A015632
- Powers of sqrt(12) rounded down.at n=7A017940
- Powers of fourth root of 12 rounded down.at n=14A018078
- Binomial coefficients: C(n,k), 4 <= k <= n-4, sorted, duplicates removed.at n=24A024756