3318
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 4362
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 936
- Möbius Function
- 1
- Radical
- 3318
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=26A000338
- Denominators of Bernoulli numbers B_{2n}.at n=39A002445
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=40A006954
- a(n) = n*(15*n + 1)/2.at n=21A022273
- Number of independent subsets of nodes in graph formed from n-fold subdivision of triangle.at n=6A027740
- Denominator of Sum_{p prime, p-1 divides 2*n} 1/p.at n=38A027762
- Coordination sequence T3 for Zeolite Code SBT.at n=46A033614
- a(n) = C(n+3,4) + 3*C(n+1,3) + 5*C(n-1,2) + 7*n - 15.at n=11A034858
- a(n) = C(n+3,4) + 3*C(n+1,3) + 5*C(n-1,2) + 7*n - 15 for n >= 3; a(1)=1, a(2)=10.at n=12A034859
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 4).at n=40A035543
- Numbers having three 6's in base 8.at n=9A043447
- Numbers n such that string 1,8 occurs in the base 10 representation of n but not of n-1.at n=37A044350
- Numbers n such that string 1,8 occurs in the base 10 representation of n but not of n+1.at n=37A044731
- a(n) = A047881(n) / 2.at n=25A047882
- Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence gives values of x.at n=18A050788
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; each k is an R(i(k),j(k)) and A057043(n)=i(L(n)), where L(n) is the n-th Lucas number.at n=34A057043
- McKay-Thompson series of class 44c for Monster.at n=42A058683
- Numbers which contain exactly the same digits (with the correct multiplicity) in 3 different smaller bases.at n=6A059828
- Index values for new maxima in sequence A060457.at n=47A061012
- Number of length 3 walks on an n-dimensional hypercubic lattice starting at the origin and staying in the nonnegative part.at n=14A064043