10909
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10910
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10908
- Möbius Function
- -1
- Radical
- 10909
- 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
- 130
- 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
- 1327
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Hit polynomials; convolution of natural numbers with Fibonacci numbers F(2), F(3), F(4), ....at n=16A001891
- Expansion of x/(1 - 10*x - 3*x^2).at n=5A015588
- a(n) = Sum_{i=0..n} Sum_{j=0..n} A026637(i,j).at n=12A026646
- Primes that yield a different prime when rotated by 180 degrees.at n=33A048890
- Primes p whose period of reciprocal equals (p-1)/9.at n=9A056214
- a(n) = Smallest nontrivial number k > 9 such that |first (leftmost) decimal digit of k - second digit + third digit - fourth digit ...| = n.at n=19A060982
- Smallest number m such that first digit - second digit + third digit - fourth digit ... (of m) = n.at n=19A061479
- a(n) = Smallest nontrivial number k > 9 such that first (leftmost) digit - second digit + third digit - fourth digit ... of k = n.at n=19A061882
- Primes in which neighboring digits differ at most by 1.at n=44A068148
- Primes for which the four closest primes are smaller.at n=21A075030
- Primes that are still primes when turned upsided down.at n=37A080788
- Primes p such that (r-p)/log(p) > 3, where r is the next prime after p.at n=31A082888
- Smallest prime p such that (2n)*p +1 and (p-1)/(2n) are prime, or 0 if no such prime exists.at n=53A085956
- a(n)=A085956(3n).at n=17A086361
- Primes in A051022.at n=29A092908
- Interpolate 0's between each pair of digits of n-th prime.at n=45A092909
- Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=27A092946
- Primes that represent some mean of 4 consecutive (2 smaller, itself, 1 larger) primes.at n=27A094932
- Prime partial sums of the odd-indexed primes.at n=7A096208
- Duplicate of A056214.at n=9A098676