3357
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4862
- Proper Divisor Sum (Aliquot Sum)
- 1505
- 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
- 2232
- Möbius Function
- 0
- Radical
- 1119
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 87
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of a modular function.at n=17A006707
- Diagonals of Pascal's triangle mod 2 interpreted as binary numbers.at n=22A006921
- Number of 4-level rooted trees with n leaves.at n=9A007713
- Coordination sequence T2 for Zeolite Code ATV.at n=37A008044
- a(n) = (n-dimensional partitions of 6) + C(n,4) + C(n,3).at n=8A008780
- Powers of cube root of 21 rounded to nearest integer.at n=8A018037
- Powers of cube root of 21 rounded up.at n=8A018038
- Expansion of Product_{m>=1} (1+q^m)^(-9).at n=8A022604
- Numbers k such that Fib(k) == -34 (mod k).at n=25A023169
- Arrange digits of cubes in ascending order.at n=15A032553
- Composite numbers whose prime factors contain no digits other than 3 and 7.at n=41A036316
- Maximal number of spanning paths in a tournament on n nodes.at n=8A038375
- Numerators of continued fraction convergents to sqrt(419).at n=5A041796
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n-1.at n=36A044389
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n+1.at n=36A044770
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=14A045614
- Numbers of the form p*q*r where p,q,r are (not necessarily distinct) odd palindromic primes (odd terms from A002385).at n=38A046373
- Numbers k such that k and k-1 both have 6 divisors.at n=36A049104
- Number of factorizations with 2 levels of parentheses indexed by prime signatures. A050338(A025487).at n=31A050339
- Grundy function for turn-at-most-7-coins game.at n=21A054044