10771
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10772
- 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
- 10770
- Möbius Function
- -1
- Radical
- 10771
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- 1312
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a Goldbach conjecture: the location of records in A185091.at n=11A002091
- Number of 2-factors in P_4 X P_n.at n=8A003693
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=10A023287
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=28A031820
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=33A046018
- Primes of the form 30*p + 1 where p is also prime.at n=29A051646
- Consider all integer triples (i,j,k), j,k>0, with i^3=j^3+binomial(k+2,3), ordered by increasing i; sequence gives j values.at n=19A054235
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=24A054827
- Primes p whose period of reciprocal equals (p-1)/5.at n=21A056210
- Let m = 3, 5, 7, ..., k = 0, 1, 2, 3, ..., z = (m+1)/2, 0 < j <= m. Let n_j be a prime number. Sequence gives T(m,k) = Table[m,k] = number of solutions to Sum_{d=1,2, ..., (z+k)}(n_j)_d = Sum_{d=1,2, ..., (z-k-1)}(n_j)_d = primorial number (A002110).at n=67A057611
- Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=31A077405
- Primes in A058633.at n=39A080822
- Class 6- primes (for definition see A005109).at n=26A081425
- Duplicate of A023287.at n=10A086126
- Diagonal of A088262.at n=28A088263
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=26A094458
- Primes such that the sum of the predecessor and successor primes is divisible by 37.at n=34A113156
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=30A116014
- Largest number that is not the sum of five n-gonal numbers.at n=24A118367
- Numbers n such that ((1+I)^n+1)/(2+I) is a Gaussian prime.at n=21A124112