3307
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3308
- 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
- 3306
- Möbius Function
- -1
- Radical
- 3307
- 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
- 74
- 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
- 465
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 7*4^k + 1 is prime.at n=21A002255
- Primes of form k^2 + k + 1.at n=19A002383
- Number of unrooted achiral trees with n nodes.at n=27A003244
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=29A006562
- a(n) = prime(n*(n+1)/2).at n=29A011756
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=9A020393
- Numbers with exactly 7 1's in their ternary expansion.at n=11A023698
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=31A024834
- 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=6A031555
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=22A031796
- Lists of 4 primes in arithmetic progression; common difference 6.at n=9A033449
- Sum of the next n members of the list of twin primes.at n=8A038345
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=26A038543
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=23A038637
- Numbers having three 4's in base 9.at n=22A043471
- Numbers whose base-5 representation has exactly 6 runs.at n=21A043606
- Numbers k such that the string 7,4 occurs in the base 9 representation of k but not of k-1.at n=44A044318
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=35A044339
- Numbers n such that string 0,7 occurs in the base 10 representation of n but not of n+1.at n=35A044720
- Numbers whose base-3 representation contains no 0's and exactly one 2.at n=31A044990