3344
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 7440
- Proper Divisor Sum (Aliquot Sum)
- 4096
- 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
- 1440
- Möbius Function
- 0
- Radical
- 418
- Omega Function (Ω)
- 6
- 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
- 43
- 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
- Number of partitions of n into prime parts.at n=66A000607
- Squares written in base 6.at n=28A001741
- a(n) = Sum_{k=0..n} f(k)*f(n-k) where f(k) = A002124(k).at n=30A002125
- Squares written in base 8.at n=41A002441
- Smallest number such that n-th iterate of Chowla function is 0.at n=18A002954
- Degrees of irreducible representations of Harada-Norton group HN.at n=4A003915
- Coordination sequence T2 for Zeolite Code APC.at n=40A008033
- Coordination sequence T2 for Zeolite Code MFS.at n=36A008174
- Triangle read by rows: T(n,k) = number of closed meander systems of order n with k<=n components.at n=18A008828
- Coordination sequence T1 for Zeolite Code RTH.at n=40A009893
- Coordination sequence T2 for Zeolite Code VET.at n=35A009903
- Coordination sequence T4 for Zeolite Code VET.at n=35A009905
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=30A020441
- Sum{T(n,k)}, k = 0,1,...,n, where T is the array defined in A026082.at n=8A026096
- a(n+2) = 2*a(n+1) + 2*a(n); a(0) = 1, a(1) = 3.at n=8A028859
- Numbers k such that 217*2^k+1 is prime.at n=3A032485
- Numbers with digits 3 and 4 only.at n=17A032834
- Every run of digits of n in base 10 has length 2.at n=30A033008
- Coordination sequence T2 for Zeolite Code TSC.at n=48A033617
- a(n) contains n digits (either '3' or '4') and is divisible by 2^n.at n=3A035014