8133
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10848
- Proper Divisor Sum (Aliquot Sum)
- 2715
- 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
- 5420
- Möbius Function
- 1
- Radical
- 8133
- 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
- 114
- 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
- Sum of odd Fermat coefficients rounded to nearest integer.at n=12A000968
- arctanh(arcsin(tan(x)))=x+5/3!*x^3+129/5!*x^5+8133/7!*x^7+949281/9!*x^9...at n=3A012083
- 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=23A031558
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 2.at n=12A049971
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.at n=19A050969
- Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.at n=25A092127
- Numbers k such that k, k+2, k+4, k+6, k+8, k+10 are semiprimes.at n=6A092128
- Expansion of ((eta(q)eta(q^15))/(eta(q^3)eta(q^5)))^3 in powers of q.at n=48A095123
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=42A101790
- Sum of even Fermat coefficients rounded to nearest integer.at n=12A111099
- Start with 1 and repeatedly reverse the digits and add 52 to get the next term.at n=29A118149
- a(n) = (4*n^3 - 9*n^2 + 11*n + 3)/3.at n=19A161707
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=1, k=1 and l=1.at n=8A176611
- Number of (w,x,y,z) with all terms in {1,...,n} and w>=x*y*z.at n=43A212058
- Table read by antidiagonals of numbers of form (2^n - 1)*2^(m+3) + 5 where n>=1, m>=1.at n=42A224701
- Number of partitions of n where the difference between consecutive parts is at most 2.at n=42A224956
- Number A(n,k) of tilings of a 3k X n rectangle using 3n k-ominoes of shape I; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=74A251072
- Number of tilings of a 9 X n rectangle using 3n trominoes of shape I.at n=8A251073
- Numbers such that the sum of their digits is equal to the sum of digits of their aliquot parts.at n=44A274218
- Expansion of Sum_{i>=1} x^prime(i)/(1 - x^prime(i)) * Product_{j>=i} 1/(1 - x^prime(j)).at n=56A284827