3343
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3344
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3342
- Möbius Function
- -1
- Radical
- 3343
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 471
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=21A001136
- Minimal number of moves for the cyclic variant of the Towers of Hanoi for 3 pegs and n disks, with the final peg two steps away.at n=8A005666
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=15A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=15A007708
- Coordination sequence T2 for Zeolite Code AET.at n=40A008008
- Coordination sequence T1 for Zeolite Code APC.at n=40A008032
- Coordination sequence T1 for Zeolite Code DAC.at n=36A008067
- Coordination sequence T2 for Zeolite Code TON.at n=36A008242
- Repeatedly convert from decimal to octal.at n=19A008558
- Crystal ball sequence for planar net 3.6.3.6.at n=38A008580
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=7A020395
- Primes that contain digits 3 and 4 only.at n=4A020461
- Least inverse of A001390, or 0 if no inverse exists.at n=10A020638
- Primes that remain prime through 2 iterations of function f(x) = 2x + 3.at n=45A023242
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=36A023248
- a(n) = Sum_{k=0..n} T(n,k), T given by A026725.at n=11A026732
- Odd numbers congruent to 7 mod 8 such that (2^(h(-n)+2)-n) is a square, where h(-n) is the class number.at n=45A029724
- Smallest prime containing n-th cube as substring.at n=7A029949
- 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 57.at n=10A031555
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=24A031796