3183
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4248
- Proper Divisor Sum (Aliquot Sum)
- 1065
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2120
- Möbius Function
- 1
- Radical
- 3183
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 61
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Number of partitions into non-integral powers.at n=26A000148
- Coordination sequence T4 for Zeolite Code DFO.at n=43A009878
- Square of the lower triangular normalized partition matrix.at n=15A027516
- First column of A027516.at n=5A027528
- Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.at n=17A027672
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 17.at n=27A031515
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=36A031891
- Number of partitions satisfying cn(1,5) < cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=30A039872
- Numbers n such that string 8,3 occurs in the base 10 representation of n but not of n-1.at n=34A044415
- Numbers k such that string 8,3 occurs in the base 10 representation of k but not of k+1.at n=34A044796
- Numbers n such that 49*2^n-1 is prime.at n=19A050550
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 18.at n=33A051983
- McKay-Thompson series of class 42A for Monster.at n=40A058671
- The array in A059216 read by antidiagonals in 'up' direction.at n=33A059217
- The array in A059216 read by antidiagonals in the direction in which it was constructed.at n=33A059234
- (-1) times minimal coefficient of the polynomial (1-x)*(1-x^2)*...*(1-x^n).at n=55A086394
- a(n) = Sum_{k=0..n} floor(k*phi^2) where phi=(1+sqrt(5))/2.at n=49A088207
- Maximum number of different determinants that can be produced by permuting the elements of a 3 X 3 integer matrix with nonnegative entries <= n.at n=12A099834
- Numbers k such that little googol - k is prime.at n=36A108254
- Odd winning positions in Fibonacci nim.at n=12A120904