9791
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9792
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9790
- Möbius Function
- -1
- Radical
- 9791
- 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
- 73
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1208
- 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 even period and if the last term of the periodic part is deleted the central term is 97.at n=37A031595
- The number of decompositions of n into different parts relatively prime to n.at n=58A036998
- Numbers n such that 25*2^n-1 is prime.at n=27A050538
- Consider the Diophantine equation x^3 + y^3 = z^3 + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order.at n=14A050791
- Euclid-Mullin sequence (A000945) with initial value a(1)=37 instead of a(1)=2.at n=23A051316
- Prime number spiral (clockwise, West spoke).at n=17A054570
- Primes with 11 as smallest positive primitive root.at n=39A061324
- Number of basis partitions (or basic partitions) of n.at n=49A066447
- Sum of first n 6-almost primes.at n=23A086052
- Sum of the orders of the elements in the group GL(2,Z_n).at n=7A086147
- a(n) = largest prime using least number of possible digits with a digit sum n, or 0 if no such number exists. E.g., if n > 9 and there are no two-digit primes with a given digit sum n then three-digit numbers are explored and so on.at n=25A088115
- Primes of the form pq - 6, where p and q are consecutive primes.at n=12A099775
- Smallest prime equal to the sum of n distinct squares.at n=28A100559
- Primes p such that p's set of distinct digits is {1,7,9}.at n=8A108384
- Row sums of an unsigned characteristic triangle for the Fibonacci numbers.at n=10A110035
- Abs(*+-) n Sequence.at n=43A119518
- a(n) = A064688(n) - 1.at n=16A123557
- a(n) = a(n-1) + a(n-3) + a(n-4), with a(0)=a(1)=a(2)=a(3)=1.at n=21A126116
- Primes of the form 64n+63.at n=32A127579
- Primes in A132286.at n=20A132287