8104
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
- 8
- Divisor Sum
- 15210
- Proper Divisor Sum (Aliquot Sum)
- 7106
- 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
- 4048
- Möbius Function
- 0
- Radical
- 2026
- Omega Function (Ω)
- 4
- 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
- 114
- 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
- yes
- Odd
- no
Appears in sequences
- Powers of e rounded up.at n=9A001671
- a(n) = ceiling(exp((n-1)/2)).at n=19A005181
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=32A007811
- E.g.f. tan(tan(x)*sin(x)), even powers only.at n=4A009705
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=62A011910
- Duplicate of A009705.at n=3A012368
- arctanh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+302/6!*x^6+8104/8!*x^8...at n=3A012372
- Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7).at n=41A017829
- 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 45.at n=18A031543
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 45.at n=1A031723
- Shapes of height-balanced AVL trees of height at most 5 with n nodes.at n=26A036662
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=34A045288
- a(n) = round( 1 + e^(n-2) ).at n=10A055876
- Composite n such that phi(n+4) = phi(n)+4.at n=44A056773
- Numbers n such that g(n) + sopfr(n) = n, where g(n)= number of nonprimes <=n (A062298) and sopfr(n) = sum of primes dividing n with repetition (A001414).at n=15A064159
- Solutions to A072631[n]=0.at n=9A072632
- Numbers that are equal to the sum of their anti-divisors.at n=7A073930
- G.f.: (1-x+2*x^2+2*x^3+2*x^4-x^5+x^6)/((1-x)*(1-x^2)^2*(1-x^3)).at n=45A083709
- Iccanobirt numbers (4 of 15): a(n) = R(a(n-1)) + a(n-2) + a(n-3), where R is the digit reversal function A004086.at n=16A102114
- Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 2 and repeat; as m = 1,2,3,.. the remaining terms form this sequence.at n=27A112560