3328
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
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 7154
- Proper Divisor Sum (Aliquot Sum)
- 3826
- 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
- 1536
- Möbius Function
- 0
- Radical
- 26
- Omega Function (Ω)
- 9
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 17
- 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 that are the sum of 2 squares but not sum of 3 nonzero squares.at n=43A000549
- Weight distribution of Cheng-Sloane [ 32,17,8 ] code.at n=11A002617
- Weight distribution of Cheng-Sloane [ 32,17,8 ] code.at n=5A002617
- Expansion of (x-1)*(x^2-4*x-1)/(1-2*x)^2.at n=8A003232
- a(n) = 13*2^n.at n=8A005029
- Generalized Fibonacci numbers A_{n,3}.at n=29A006208
- Theta series of laminated lattice LAMBDA_12^{mid}.at n=3A006913
- Number of strict first-order maximal independent sets in path graph.at n=28A007383
- Coordination sequence T3 for Zeolite Code AEL.at n=38A008006
- Coordination sequence T3 for Zeolite Code LIO.at n=40A008131
- Coordination sequence T4 for Zeolite Code TER.at n=39A016436
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=26A017823
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=51A017862
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=35A018806
- Define the generalized Pisot 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). This is T(3,6).at n=12A018918
- Pisot sequences E(6,8), P(6,8).at n=22A020716
- Number of 3's in n-th term of A022482.at n=32A022486
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-4).at n=28A023434
- Numbers that are the sum of 4 nonzero squares in exactly 4 ways.at n=50A025360
- a(n) = T(2n-1,n-2), T given by A027157.at n=4A027162