3346
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
- 8
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 2414
- 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
- 1428
- Möbius Function
- -1
- Radical
- 3346
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 92
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-7).at n=4A004408
- Upper triangular n X n (0,1)-matrices with no zero rows or columns.at n=5A005321
- Coordination sequence T2 for Zeolite Code BIK.at n=35A008048
- Coordination sequence T2 for Zeolite Code MAZ.at n=40A008145
- Coordination sequence T4 for Zeolite Code -CHI.at n=37A009849
- Fibonacci sequence beginning 2, 22.at n=12A022373
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence).at n=23A025118
- Size of lexicographic code of length n, Hamming distance 8 and weight 8.at n=33A030069
- a(n) = (n - 1)*(n^2 + n - 1).at n=15A033445
- Numbers n such that string 4,6 occurs in the base 10 representation of n but not of n-1.at n=36A044378
- Numbers n such that string 4,6 occurs in the base 10 representation of n but not of n+1.at n=36A044759
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 4.at n=36A050053
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=20A051941
- Composite numbers k such that sigma(k + 6!) = sigma(k + 720) = sigma(k) + 720.at n=28A054984
- a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.at n=28A059518
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=22A063365
- Meandric numbers for a river crossing two perpendicular roads at n points, beginning in the (-,-) quadrant and ending in any quadrant.at n=9A076907
- a(n) = n * [1 + sum(k=1 to n-1) prime(k)].at n=14A083719
- Number of partitions of n such that there is exactly one part which occurs twice, while all other parts occur only once.at n=43A090858
- a(0)=1; a(n) = sigma_2(n) + sigma_3(n).at n=14A092344