8301
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
- 4
- Divisor Sum
- 11072
- Proper Divisor Sum (Aliquot Sum)
- 2771
- 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
- 5532
- Möbius Function
- 1
- Radical
- 8301
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 96
- 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
- no
- Odd
- yes
Appears in sequences
- 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=31A031558
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-4)/2.at n=15A048061
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n+2)/3.at n=15A048072
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n+3)/3.at n=15A048083
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=43A050967
- Numbers k such that 2*F(k) + 1 is a prime, where F = A000045.at n=44A124067
- Semiprimes (p+4) associated with first prime in A137625.at n=5A137627
- Semiprimes (p+4) associated with first prime in A137625.at n=6A137627
- a(n) = 13*n^2 + 7*n + 1.at n=24A168240
- Number of partitions of n containing a clique of size 5.at n=37A183562
- Number of days after Mar 01 00 such that the date written in the format DD.MM.YY is palindromic.at n=8A210887
- Total sum of parts <= n of multiplicity 0 in all partitions of n.at n=13A213679
- Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) <= number of distinct parts of p.at n=32A241824
- Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition).at n=51A256530
- G.f.: 1/((1-t^8)*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^9)*(1-t^11)*(1-t^13)*(1-t^15)).at n=59A266748
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 417", based on the 5-celled von Neumann neighborhood.at n=24A272018
- Number of compositions (ordered partitions) of n into primes of form x^2 + y^2 (A002313).at n=44A282971
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 350", based on the 5-celled von Neumann neighborhood.at n=31A287755
- Expansion of Product_{i>0, j>0, k>0} (1 + x^(i^2 + j^2 + k^2)).at n=55A321429
- Number of nonnegative integer matrices with sum of entries equal to n and no zero rows or columns, with distinct row sums and distinct column sums.at n=9A321654