8737
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8738
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 8736
- Möbius Function
- -1
- Radical
- 8737
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 140
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1089
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of paraffins.at n=32A005998
- a(n) = prime(n^2).at n=32A011757
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=32A023299
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=29A024480
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=28A025100
- Numbers whose set of base-16 digits is {1,2}.at n=28A032936
- a(i) is a square mod a(j), i <> j; a(n) prime; a(1) = 2.at n=7A034902
- Prime number spiral (clockwise, Northwest spoke).at n=16A053999
- Sum of even-indexed primes.at n=42A077126
- Expansion of 1/(1 - 2*x - 2*x^2 - x^3).at n=9A077936
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=12A078852
- Primes of the form k^2 - 7*k + 7.at n=24A089376
- Leading diagonal of triangle A093922.at n=33A093923
- Prime partial sums of the even-indexed primes.at n=7A096207
- Balanced primes of order seven.at n=11A096699
- Numbers n such that 6*10^n + 3*R_n - 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=22A103032
- Primes of the form 64n+33.at n=31A105128
- Integers n such that n is prime and x is prime, where (x,y) is the smallest solution to the Pell equation with D = n.at n=13A109748
- Mother primes of order 6.at n=43A136065
- Primes p such that 2p-3 and 2p+3 are both prime (A092110), with last decimal of p being 7.at n=41A136192