3378
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6768
- Proper Divisor Sum (Aliquot Sum)
- 3390
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1124
- Möbius Function
- -1
- Radical
- 3378
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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(n(n+2)(2n+1)/8).at n=23A002717
- Coordination sequence T4 for Zeolite Code MTW.at n=38A008199
- Integers that are squarefree and also the sum of first k squarefrees for some k.at n=39A013932
- 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 T6 atom.at n=11A019191
- First n elements of Thue-Morse sequence A010060 read as a binary number.at n=12A019300
- Number of paths in Moebius ladder M_n.at n=6A020874
- Number of 1's in n-th term of A022470.at n=30A022472
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=36A023166
- a(n) = position of 3*(n^2) in A000408.at n=36A024800
- 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=2A031556
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=33A038391
- Numbers k such that the string 6,3 occurs in the base 9 representation of k but not of k-1.at n=45A044308
- Numbers n such that string 7,8 occurs in the base 10 representation of n but not of n-1.at n=36A044410
- Numbers n such that string 7,8 occurs in the base 10 representation of n but not of n+1.at n=36A044791
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=2A044886
- Bessel function |Y_0(n)| is a monotonically decreasing positive sequence.at n=19A046963
- Nonnegative numbers of the form n^3 (+/-) 3, n >= 0.at n=29A052276
- Numbers k such that 4^k - 3 is prime.at n=21A059266
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 57 ).at n=38A063330
- Least k such that k*7^n +/- 1 are twin primes.at n=26A064217