8013
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
- 10688
- Proper Divisor Sum (Aliquot Sum)
- 2675
- 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
- 5340
- Möbius Function
- 1
- Radical
- 8013
- 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
- 145
- 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
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8).at n=38A017830
- 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 58.at n=40A031556
- Number of primes between n*100000 and (n+1)*100000.at n=2A038825
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=40A050967
- Heights of peaks of more than 8000 meters (as of Sep 25 2001), in decreasing order.at n=13A064296
- a(n) = (1/24) * (A018188(n)-11).at n=41A092153
- Start with 34 and repeatedly reverse the digits and add 16 to get the next term.at n=47A119454
- Row sums of the triangle A124469, in which row n equals the inverse binomial transform of column n in the triangle A124460.at n=7A124470
- Semiprimes s such that s-/+4 are primes.at n=44A125216
- a(n) = n^3 + sum((-1)^j*a(j)); for j=1 to n-1; a(1)=1.at n=30A153286
- Expansion of 1 / (1 - x - x^4 + x^9) in powers of x.at n=33A233522
- Number of partitions p of n such that round(mean(p)) is a part of p; here, round(x) means floor(x + 1/2).at n=35A241733
- Expansion of (1 + x) / ((1 - x^4) * (1 - x - x^5)) in powers of x.at n=31A247907
- Numbers n such that 2*n + prime(n) is a square.at n=29A256246
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its northeast neighbor modulo n and the upper left element equal to 0.at n=23A266655
- Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its northeast neighbor modulo 3 and the upper left element equal to 0.at n=4A266656
- Number of nX5 arrays of permutations of 5 copies of 0..n-1 with every element equal to or 1 greater than any northeast neighbor modulo n and the upper left element equal to 0.at n=2A267835
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast neighbor modulo n and the upper left element equal to 0.at n=23A267836
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 302", based on the 5-celled von Neumann neighborhood.at n=29A271158
- Arises in study of A000587.at n=13A274300