3396
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7952
- Proper Divisor Sum (Aliquot Sum)
- 4556
- 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
- 1128
- Möbius Function
- 0
- Radical
- 1698
- Omega Function (Ω)
- 4
- 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
- 61
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)^(n+1)*n if n is prime, otherwise = 0, where p = largest prime < n.at n=41A002120
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=32A002621
- Coordination sequence T3 for Zeolite Code EMT.at n=48A008088
- Coordination sequence T1 for Zeolite Code LTL.at n=43A008138
- Coordination sequence T1 for Zeolite Code MTW.at n=38A008196
- Coordination sequence T3 for Zeolite Code -WEN.at n=42A009864
- Coordination sequence T6 for Zeolite Code CON.at n=41A009873
- 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 T4 atom.at n=11A019189
- Multiply by 1, add 1, multiply by 2, add 2, etc., start with 2.at n=12A019465
- Least k such that first k terms of A022300 contain n more 1's than 2's.at n=19A022302
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=27A024863
- 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 38.at n=22A031536
- Number of partitions of n with equal number of parts congruent to each of 0, 3 and 4 (mod 5).at n=43A035577
- Number of edges in the Hasse diagrams for the B-analogs of the partition lattices.at n=5A039759
- Base-7 palindromes that start with 1.at n=36A043015
- Numbers whose base-15 representation has exactly 4 runs.at n=5A043671
- Numbers n such that string 9,6 occurs in the base 10 representation of n but not of n-1.at n=36A044428
- Numbers k such that string 9,6 occurs in the base 10 representation of k but not of k+1.at n=36A044809
- Numbers k such that k*2^k - (k-1) is prime.at n=16A046847
- Number of primes in the interval [prime(n), prime(n)^2].at n=40A054272