3347
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3348
- 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
- 3346
- Möbius Function
- -1
- Radical
- 3347
- 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
- 92
- 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
- 472
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code LTN.at n=40A008140
- Coordination sequence T4 for Zeolite Code RTH.at n=40A009896
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=48A011913
- Number of partitions of n into an even number of parts, the least being 4; also, a(n+4) = number of partitions of n into an odd number of parts, each >=4.at n=59A027196
- Primes that are palindromic in base 7.at n=12A029975
- 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=11A031555
- Lower prime of a difference of 12 between consecutive primes.at n=34A031930
- Numbers whose set of base-14 digits is {1,3}.at n=18A032921
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=27A038543
- Base-7 palindromes that start with 1.at n=35A043015
- Numbers k such that the string 2,8 occurs in the base 9 representation of k but not of k-1.at n=46A044277
- Numbers n such that string 4,7 occurs in the base 10 representation of n but not of n-1.at n=36A044379
- Numbers n such that string 4,7 occurs in the base 10 representation of n but not of n+1.at n=36A044760
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=17A046008
- Primes p such that p^8 reversed is also prime.at n=25A059701
- Primes p = prime(k) such that k*p - 1 is also a prime.at n=44A062291
- Primes p such that prime(p) + pi(p) is a prime.at n=44A065059
- Numbers n such that the area of the parallelogram formed by the vectors (n, prime(n)) and (n+1, prime(n+1)) is an integer square, i.e., Det[{{n, prime(n)},{n+1, prime(n+1)}}] is an integer square.at n=23A067805
- Frobenius number of the numerical semigroup generated by three consecutive hexagonal numbers.at n=6A069758
- Smallest prime such that the difference of successive terms is strictly increasing.at n=43A070865