10817
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
- 4
- Divisor Sum
- 11220
- Proper Divisor Sum (Aliquot Sum)
- 403
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10416
- Möbius Function
- 1
- Radical
- 10817
- 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
- 117
- 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
- Coordination sequence for alpha-Mn, Position Mn3.at n=27A009952
- In decimal expansion of Pi=3.1415... : smallest k such that the (k+n)-th position equals the k-th position.at n=52A094582
- a(n) = 16*n^2 + 1.at n=25A108211
- Numbers k such that k^4 contains a pandigital substring.at n=24A115934
- Composite number of the form 4n^2+1.at n=33A121944
- Numbers m such that m divides Sum_{k=1..m} prime(k)^14.at n=4A131274
- (A144325(n)^2 + A144313(n)^2 + A144315(n)^2) / 3.at n=0A144716
- a(n) = 81*n^2 - 72*n + 17.at n=12A154277
- a(n) = 338*n + 1.at n=31A158000
- a(n) = 676*n + 1.at n=15A158386
- a(n) = 64*n^2 + 1.at n=13A158686
- a(n) = 9*n^2 - 6*n + 2.at n=34A185939
- Beach-Williams Pell numbers of type k^2 + 1.at n=12A212082
- Numbers of the form n^2 + 1 without prime divisors of the form a^2 + 1.at n=10A217279
- Position of the n-th prime in A253279.at n=37A255999
- Andrews's shadow difference function D_3(q).at n=38A275633
- a(n) = A292136(n)^2 + A292137(n)^2.at n=52A292464
- a(n) is the n-th order Taylor polynomial (centered at 0) of S(x)^(2*n ) evaluated at x = 1, where S(x) = (1 - x - sqrt(1 - 6*x + x^2))/(2*x) is the o.g.f. of the Schröder numbers A006318.at n=4A333091
- Nonprime numbers k for which k*k' is a palindrome, where k' is the arithmetic derivative of k (A003415).at n=14A359331