10091
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10092
- 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
- 10090
- Möbius Function
- -1
- Radical
- 10091
- 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
- 47
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1238
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=8A020437
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99.at n=25A031597
- Primes that yield a different prime when rotated by 180 degrees.at n=30A048890
- Bemirps: primes that yield a different prime when turned upside down with reversals of both being two more different primes.at n=5A048895
- a(n) is the first cube root greater than 10^n such that a(n)^3 is a palfree cube (palfree = contains no palindromic substring except single digits).at n=3A052067
- Primes q of the form q = 10p + 1, where p is also prime.at n=37A055781
- Primes starting and ending with 1.at n=40A062332
- Smallest prime which is the sum of n consecutive primes, or 0 if no such prime exists.at n=58A070281
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=29A070934
- Square loops: the number of circular permutations (reversals not counted as different) of the numbers 1 to n such that the sum of any two consecutive numbers is a square.at n=12A071984
- 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=[2,6,4]; short d-string notation of pattern = [264].at n=17A078848
- Suppose p and q = p+20 are primes. Define the difference pattern of (p,q) to be the successive differences of the primes in the range p to q. There are 56 possible difference patterns, shown in the Comments line. Sequence gives smallest value of p for each difference pattern, sorted by magnitude.at n=52A079020
- Primes that are still primes when turned upsided down.at n=34A080788
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=29A082244
- Smallest prime that is the sum of prime(n) consecutive primes.at n=16A082277
- Primes that are a concatenation of a prime and its first digit.at n=29A085414
- Representative lunar primes.at n=39A088574
- Primes of the form 3*m^2 - 1.at n=19A089682
- Denominator(Bernoulli(n-1) + 1/n)=66, where n runs through the primes.at n=42A090799
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=22A094458