8097
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 2703
- 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
- 5396
- Möbius Function
- 1
- Radical
- 8097
- 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
- 65
- 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 that are the sum of 7 nonzero 8th powers.at n=14A003385
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A001950 (upper Wythoff sequence).at n=19A025108
- Third row of number array A082105.at n=44A082109
- Expansion of 1 / Product_{n>=0} (1-q^(5n+1))(1-q^(5n+2))(1-q^(5n+3)).at n=43A107234
- Numbers k such that k divides the sum of digits of all numbers from 1 to k.at n=39A114136
- a(n) is the number of binary strings of length n+3 such that there exists a subsequence of length 4 with 2 ones in it.at n=9A118648
- Semiprimes s such that s-/+4 are primes.at n=45A125216
- Numbers n such that sigma(2*phi(n)) = 2*sigma(n).at n=5A137733
- Triangle T(n,k) = 4*binomial(n,k)^2 - 3, read by rows, 0<=k<=n.at n=57A141596
- Triangle T(n,k) = 4*binomial(n,k)^2 - 3, read by rows, 0<=k<=n.at n=63A141596
- a(n) = 9*n^2 - 3.at n=29A157872
- Numbers k that divide the sum of digits of 21^k.at n=50A175589
- a(n) = 2*n*(n+1)*(n+2)/3 + (-1)^n.at n=22A179783
- Numbers n such that n and n+1 have same sum of anti-divisors.at n=7A192282
- Concentric 16-gonal numbers.at n=45A195146
- Centered 32-gonal numbers.at n=22A195315
- Numbers n such that Q(sqrt(n)) has class number 7.at n=23A218039
- Fundamental discriminants of real quadratic number fields with class number 7.at n=12A218157
- Sum_{i=0..n} Sum_{j=0..n} (i AND j), where AND is the binary logical AND operator.at n=33A224924
- The number of permutations of length n in a particular geometric grid class.at n=9A226433