3366
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8424
- Proper Divisor Sum (Aliquot Sum)
- 5058
- 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
- 960
- Möbius Function
- 0
- Radical
- 1122
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 43
- Smith Number
- yes
- 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
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=50A000232
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=23A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=22A000451
- Smallest number that is the sum of 3 squares in at least n ways.at n=23A000451
- Number of partitions of floor(7n/2)-1 into n nonnegative integers each no greater than 7.at n=14A001980
- a(n) = (6^n/n!) * Product_{k=0..n-1} ( 6*k + 11 ).at n=2A004998
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=29A005899
- Coordination sequence T3 for Zeolite Code AFR.at n=44A008021
- Coordination sequence T5 for Zeolite Code RUT.at n=38A009901
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=41A011901
- Coordination sequence T5 for Zeolite Code TER.at n=39A016437
- a(n) is the concatenation of n and 2n.at n=32A019550
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=23A025414
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=33A028896
- Even numbers in the (2,3)-Pascal triangle A029600.at n=51A029605
- Even numbers in the (2,3)-Pascal triangle A029600 that are different from 2.at n=38A029607
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=43A029614
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600 that are different from 3.at n=31A029615
- Table read by rows: list of even numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=20A029617
- Even numbers in (3,2)-Pascal triangle A029618.at n=48A029623