3086
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4632
- Proper Divisor Sum (Aliquot Sum)
- 1546
- 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
- 1542
- Möbius Function
- 1
- Radical
- 3086
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of n-node trees of height at most 5.at n=12A001385
- Numbers that are the sum of 11 positive 7th powers.at n=19A003378
- Coordination sequence T3 for Zeolite Code AEI.at n=42A008003
- Coordination sequence for MgCu2, Mg position.at n=14A009931
- 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 54.at n=13A031552
- Decimal part of a(n)^(1/2) starts with reversal of its integer part: first term of runs.at n=39A034308
- Numbers whose base-7 representation contains exactly three 6's.at n=25A043419
- Numbers n such that string 8,6 occurs in the base 10 representation of n but not of n-1.at n=33A044418
- Numbers n such that string 8,6 occurs in the base 10 representation of n but not of n+1.at n=33A044799
- Numbers whose base-4 representation contains exactly three 0's and two 3's.at n=27A045078
- 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=20A050788
- a(n) = ceiling(binomial(n,4)/n).at n=43A053618
- Pseudo-Kaprekar triples: q such that if q=x+y+z, then q^3=x*10^i + y*10^j + z, where (y*10^j+z < 10^i) and z < 10^j.at n=15A060768
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 68 ).at n=37A063341
- G.f.: (1 + Sum_{ i >= 0 } 2^i*x^(2^(i+1)-1)) / (1-x)^3.at n=27A063916
- Interprimes (A024675) which are of the form s*prime, s=2.at n=26A075277
- Expansion of 1/(1 - 2*x - 2*x^2 - x^3).at n=8A077936
- Expansion of 1/(1 + 2*x - 2*x^2 + x^3).at n=8A077983
- Sum of first n terms of A(x)^n is A087457(n) for n>=1.at n=8A088930
- Numbers k such that 4*10^k + 6*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=19A099017