3382
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
- 5400
- Proper Divisor Sum (Aliquot Sum)
- 2018
- 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
- 1584
- Möbius Function
- -1
- Radical
- 3382
- 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
- 136
- 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
- a(n) = floor(Fibonacci(n)/2).at n=20A004695
- Weighted count of partitions with odd parts.at n=35A005896
- a(n) = 3 + n/2 + 7*n^2/2.at n=31A006124
- Coordination sequence T2 for feldspar.at n=39A008255
- Coordination sequence T5 for Zeolite Code RSN.at n=38A009889
- Coordination sequence for CaF2(2), F position.at n=26A009925
- Coordination sequence for Cr3Si, Cr position.at n=15A009928
- a(0) = 1, a(n) = 5*n^2 + 2 for n>0.at n=26A010001
- a(0) = 1, a(n) = 20*n^2 + 2 for n>0.at n=13A010010
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTT = ZSM-23 Nan[AlnSi24-nO48] starting with a T5 atom.at n=11A019190
- Numbers k such that the continued fraction for sqrt(k) has period 38.at n=34A020377
- a(n) = C(n-1,1) + C(n-3,3) + ... + C(n-2*m-1,2*m+1), where m = floor((n-2)/4).at n=17A024490
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 58.at n=3A031556
- G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 37 generated by (1,2,...,37).at n=5A036736
- A038025(n)=1.at n=51A038032
- Indices of triangular numbers which are also heptagonal.at n=3A039835
- Numbers having three 6's in base 8.at n=10A043447
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=36A044414
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n+1.at n=36A044795
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=6A044886