8103
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11248
- Proper Divisor Sum (Aliquot Sum)
- 3145
- 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
- 5184
- Möbius Function
- -1
- Radical
- 8103
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 189
- 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
- a(n) = floor(e^n).at n=9A000149
- Nearest integer to e^n.at n=9A000227
- Nearest integer to exp n^2.at n=3A002818
- Numbers k >= 2 such that if 1 <= j < k then fractional part of log k > fractional part of log j.at n=10A004791
- a(n) = floor(e^((n-1)/2)).at n=19A005182
- Ordered sequence of distinct terms of the form floor(exp(i) * floor(exp(j))), i,j >= 0.at n=44A022765
- 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 60.at n=21A031558
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 60.at n=2A031738
- In A015922, not in A033553.at n=20A033554
- Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=33A035984
- Values of n where A072629 switches from 01010.. into 0000.. or back.at n=8A072630
- Sequence of the radicands that give the best radical approach to e.at n=13A079663
- log(n) is closer to an integer than is log(m) for any m with 2<=m<n.at n=10A080021
- Number of partitions into a square number of parts.at n=42A089333
- Numerator of sigma_3(n)/sigma(n).at n=43A091259
- 3 times hexagonal numbers: a(n) = 3*n*(2*n-1).at n=37A094159
- a(n) = floor(exp(n^2)).at n=2A117681
- Merged values of A014217 = {floor(((1+sqrt(5))/2)^n)}, A000149 = {floor(e^n)}, and A001672 = {floor(Pi^n)}, with multiplicity.at n=36A119604
- a(n) = Sum(Sum p_i, {Sum p_i=prime(n)}, p_i is prime).at n=11A120484
- Weight distribution of [74,37,14] binary extended quadratic-residue (or QR) code.at n=7A145657