3315
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 2733
- 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
- 1536
- Möbius Function
- 1
- Radical
- 3315
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 74
- 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
- no
- Odd
- yes
Appears in sequences
- Double-bitters: only even length runs in binary expansion.at n=45A001196
- a(n) = (6*n+1)*(6*n+3)*(6*n+5).at n=2A001520
- Coefficients of Legendre polynomials.at n=4A001796
- Numbers that are the sum of 4 positive 5th powers.at n=37A003349
- Divisors of 2^24 - 1.at n=45A003532
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=63A003644
- Representation degeneracies for Neveu-Schwarz strings.at n=20A005299
- Number of simple arrangements of n pseudolines in the projective plane with a marked cell. Number of Euclidean pseudo-order types: nondegenerate abstract order types of configurations of n points in the plane.at n=7A006247
- Denominator of (2n+1)(2n+2) B_{2n}, where B_n are the Bernoulli numbers. Also denominators of the asymptotic expansion of the polygamma function psi'''(z).at n=49A006956
- Coordination sequence T1 for Zeolite Code DDR.at n=36A008071
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=25A008317
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=14A013592
- Expansion of e.g.f. theta_3^(17/2).at n=3A015675
- a(n) = n*(23*n - 1)/2.at n=17A022280
- Long leg of more than one primitive Pythagorean triangle.at n=25A024410
- Numbers in which all pairs of consecutive base-8 digits differ by 3.at n=42A033079
- Odd numbers m such that there exists an even number k < m with phi(k) = phi(m).at n=32A036798
- Coordination sequence T6 for Zeolite Code STT.at n=38A038421
- Denominators of continued fraction convergents to sqrt(304).at n=11A041573
- Base-4 palindromes that start with 3.at n=29A043005