3496
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 3704
- 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
- 1584
- Möbius Function
- 0
- Radical
- 874
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 118
- 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(1) = 1; thereafter a(n+1) = floor(sqrt(2*a(n)*(a(n)+1))).at n=22A001521
- a(n) = floor(1000*log(n)).at n=32A004240
- Primitive pseudoperfect numbers.at n=51A006036
- Primitive nondeficient numbers.at n=40A006039
- Coordination sequence T1 for Zeolite Code LIO.at n=41A008129
- Coordination sequence T3 for Zeolite Code LOV.at n=39A008136
- Aliquot sequence starting at 180.at n=36A008891
- Coordination sequence T4 for Zeolite Code RUT.at n=39A009900
- Length of n-th term of A006711.at n=28A022476
- Self-convolution of natural numbers >= 3.at n=22A023551
- Numbers n such that string 9,6 occurs in the base 10 representation of n but not of n-1.at n=37A044428
- Numbers k such that string 9,6 occurs in the base 10 representation of k but not of k+1.at n=37A044809
- Number of partitions of n with some part repeated.at n=28A047967
- a(n) = (n+2)*(a(n-1) - a(n-2)), starting with a(-1)=0 and a(0)=1.at n=7A051403
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=31A057547
- Coefficients in the series (1 + x + 4x^4 + 6x^6 + 8x^8 + 9x^9 + 10x^10 + 12x^12 + 14x^14 + ... )/(1 - 2x^2 - 3x^3 - 5x^5 - 7x^7 - 11x^11 - 13x^13 - ... ).at n=12A058358
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 94 ).at n=38A063367
- Numbers k such that phi(k) = sigma(k) - sigma(k-1).at n=1A066154
- Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers).at n=37A071395
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=15A073735