3364
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
- 9
- Divisor Sum
- 6097
- Proper Divisor Sum (Aliquot Sum)
- 2733
- 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
- 1624
- Möbius Function
- 0
- Radical
- 58
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=46A000601
- Self-convolution of Lucas numbers.at n=10A004799
- a(n) = (prime(n) - 1)^2.at n=16A005722
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=41A005893
- Coordination sequence T2 for Zeolite Code AFR.at n=44A008020
- Coordination sequence T4 for Zeolite Code AFR.at n=44A008022
- Coordination sequence T2 for Zeolite Code BIK.at n=36A008048
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=41A008084
- Coordination sequence T2 for Zeolite Code EDI.at n=41A008085
- Coordination sequence T5 for Zeolite Code HEU.at n=38A008120
- Coordination sequence T3 for Zeolite Code MEI.at n=42A008148
- Coordination sequence T2 for Zeolite Code NES.at n=37A008206
- Coordination sequence T3 for Zeolite Code NES.at n=37A008207
- Coordination sequence T2 for Zeolite Code THO.at n=41A008239
- Coordination sequence T3 for Zeolite Code THO.at n=41A008240
- Numbers that are not the sum of a square and a prime.at n=46A014090
- a(1) = 1; a(n+1) = floor((sum{k=1 to n} a(k)^3)^(1/3)).at n=43A016085
- Even squares: a(n) = (2*n)^2.at n=29A016742
- a(n) = (3*n+1)^2.at n=19A016778
- a(n) = (4n + 2)^2.at n=14A016826