3184
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 6200
- Proper Divisor Sum (Aliquot Sum)
- 3016
- 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
- 1584
- Möbius Function
- 0
- Radical
- 398
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 123
- 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
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=14A004112
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=16A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=16A004946
- Number of partitions of n into partition numbers.at n=44A007279
- Coordination sequence T2 for Zeolite Code AST.at n=41A008037
- Coordination sequence T4 for Zeolite Code DAC.at n=36A008070
- Coordination sequence T5 for Zeolite Code NES.at n=36A008209
- Theta series of {D_8}* lattice.at n=4A008427
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=21A020387
- Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.at n=43A023674
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=25A024814
- Number of triangles a queen can make (starting anywhere) on an n X n board.at n=12A030117
- a(n+1) = a(n) + sum of squares of digits of a(n).at n=43A033936
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=34A044416
- Numbers n such that string 8,4 occurs in the base 10 representation of n but not of n+1.at n=34A044797
- Sin(n) decreases monotonically to -1.at n=9A046964
- Coordination sequence T3 for Zeolite Code MSO.at n=39A047965
- Triangle T(n,k) giving number of fixed 3 X k polyominoes with n cells (n >= 3, 1<=k<=n-2).at n=53A059679
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=22A063537
- Generalized Catalan triangle, based on C(2,2; n) = A064340(n).at n=18A067298