9960
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 20280
- 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
- 2624
- Möbius Function
- 0
- Radical
- 2490
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- a(n) = number of compositions of n in which the maximum part size is 4.at n=16A000102
- a(n) = d(n)/2, where d = A026040.at n=36A026041
- Denominators of continued fraction convergents to sqrt(155).at n=7A041285
- Engel expansion of log(1/gamma) (where gamma is the Euler-Mascheroni constant A001620) = 0.549539...at n=7A059192
- Number of 5-block ordered tricoverings of an unlabeled n-set.at n=6A060489
- Triangle T(n,k) of k-block ordered tricoverings of an unlabeled n-set (n >= 3, k = 4..2n).at n=25A060492
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=20A066961
- Numbers k such that sigma(k) is a harmonic number.at n=42A074245
- Number of configurations of the 3-dimensional 3 X 3 X 3 sliding cube puzzle that require a minimum of n moves to be reached, starting with the empty space at one of the enclosing cube corners.at n=8A090573
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=35A090782
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 83.at n=3A093283
- Sequence S with property (making all terms distinct) that (i) a(1)=3, (ii) for n in S, a(n)=a(1)+a(2)+...+a(n-1), (iii) for n not in S, a(n)=the smallest number different from a(1), ..., a(n-1) not breaking condition (ii).at n=19A121174
- Triangular array with the first half of the odd-indexed rows of A048004.at n=31A125105
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 6 and 9.at n=19A136830
- Triangle T(n,k), n>=1, 0<=k<=n-1, read by rows: T(n,k)/(n-1)! is the coefficient of x^k in polynomial p_n for the n-th row sequence of A145153.at n=29A145142
- 1st column of A145142.at n=6A145143
- a(n) = 25*n^2 - 2*n.at n=19A154376
- a(n) = 1728*n - 408.at n=5A157266
- 8000n - 6040.at n=1A157627
- Tribonacci left-bounded rhombic triangle.at n=58A161009