10970
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19764
- Proper Divisor Sum (Aliquot Sum)
- 8794
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4384
- Möbius Function
- -1
- Radical
- 10970
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 117
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2) and d(n) = (n-th number that is 1 or is not a Fibonacci number).at n=17A023488
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2) and d(n) = (n-th non-Lucas number).at n=17A023494
- a(n) = b(n) + d(n), where b(n) = ( (n+1)st Fibonacci number) and d(n) = (n-th number that is 1, 2, or 3, or is not a Lucas number).at n=19A023499
- Expansion of 1/((1-5x)(1-6x)(1-9x)(1-12x)).at n=3A028176
- [ exp(7/9)*n! ].at n=6A030953
- Incrementally largest terms in the continued fraction for Laplace's limit constant.at n=8A033262
- Schenker sums with n-th term.at n=5A063170
- E.g.f. exp(5x)/(1-x).at n=5A080954
- Square array of numbers related to the incomplete gamma function, read by antidiagonals.at n=60A080955
- Number of initial odd numbers in class n of the iterated phi function.at n=32A092878
- Numbers n such that sigma(n)=2n-phi(phi(n)).at n=13A110073
- n^2 + {1,3,7} are primes.at n=30A182238
- Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,2,0,4 for x=0,1,2,3,4.at n=6A196907
- Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,2,0,4 for x=0,1,2,3,4.at n=2A196911
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,1,2,0,4 for x=0,1,2,3,4.at n=38A196912
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,1,2,0,4 for x=0,1,2,3,4.at n=42A196912
- Nonprimes such that it takes exactly 4 iterations of reverse-and-add digits to generate a prime.at n=10A245209
- Least positive integer m with prime(m)+2 and prime(prime(m))+2 both prime such that prime(m*n)+2 and prime(prime(m*n))+2 are both prime.at n=8A259487
- Least k for the inner Theodorus spiral to complete n revolutions.at n=32A295339
- Sum of the squarefree parts of the partitions of n into 8 parts.at n=29A309484