9940
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 14252
- 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
- 3360
- Möbius Function
- 0
- Radical
- 4970
- 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
- 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
- Aliquot sequence starting at 180.at n=23A008891
- a(n) = floor( Gamma(n+1/3) ).at n=8A014511
- Nearest integer to Gamma(n + 1/3).at n=8A014516
- Define the sequence T(a_0,a_1) by a_{n+2} is the greatest integer such that a_{n+2}/a_{n+1}<a_{n+1}/a_n for n >= 0. This is T(7,43).at n=4A022036
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=30A026060
- a(n) = 4*n*(2*n + 1).at n=35A033586
- Denominators of continued fraction convergents to sqrt(524).at n=10A042003
- Denominators of continued fraction convergents to sqrt(643).at n=9A042235
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-2)/2.at n=16A047188
- Coefficients of the '3rd-order' mock theta function omega(q).at n=47A053253
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives j values.at n=39A053720
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^2.at n=34A053818
- Numbers k such that n | sigma_10(k) + phi(k)^10.at n=10A055704
- Hankel transform of Moebius function A008683.at n=15A056227
- Low-temperature partition function expansion for square lattice (Potts model, q=3).at n=17A057377
- a(n) = A074639(A074645(n)).at n=20A074646
- Numbers k such that 2^(k+1) - 1 is prime.at n=21A090748
- Row lengths of the irregular triangle defined in A090905.at n=15A090906
- Sum of largest parts of all partitions of n into odd parts.at n=36A092322
- Exponents m such that 1-A065395(2^m) is a power of 2, where A065395(n) = sigma(phi(n)) - phi(sigma(n)).at n=26A092591