3391
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3392
- 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
- 3390
- Möbius Function
- -1
- Radical
- 3391
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 180
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 478
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=31A001239
- Primes of the form 2*k^2 + 29.at n=36A007641
- Coordination sequence T3 for Zeolite Code HEU.at n=38A008118
- Coordination sequence T4 for Zeolite Code HEU.at n=38A008119
- Coordination sequence T1 for Coesite.at n=31A008267
- Numbers that are the sum of 3 positive cubes in more than one way.at n=22A008917
- Coordination sequence T3 for Zeolite Code RSN.at n=38A009887
- a(n) = floor(binomial(n,5)/6).at n=21A011843
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=31A014223
- Number of subsets of {1,...,n} containing an arithmetic progression of length 3.at n=12A018788
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=41A023259
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=10A023276
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=22A025396
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=39A027430
- 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=15A031555
- Lower prime of a pair of consecutive primes having a difference of 16.at n=9A031934
- The 20 primes inside the 4 X 4 matrix with all the rows, columns and major diagonals being reversible non-palindromic and distinct primes (the smallest prime-magical square): [ 1933, 1283, 9551, 3719 ].at n=7A032530
- Numbers whose set of base 15 digits is {0,1}.at n=11A033051
- n! has a palindromic prime number of digits.at n=15A035067
- Number of ternary rooted trees with n nodes and height exactly 10.at n=15A036425