17791
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17792
- 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
- 17790
- Möbius Function
- -1
- Radical
- 17791
- 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
- 71
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2042
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=35A023276
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=14A023287
- Trajectory of 20 under prime factor concatenation procedure.at n=26A037926
- Number of 3 X n binary matrices such that any 2 rows have a common 1.at n=5A051588
- Primes of the form 30*p + 1 where p is also prime.at n=41A051646
- Primes in base 10 that remain primes in seven bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=2A052027
- Primes p having exactly one partition into distinct divisors of p+1.at n=36A085499
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=34A091362
- Primes p such that p's set of distinct digits is {1,7,9}.at n=14A108384
- Primes q such that p = (r+q+s-1)/2 is a balanced prime, where r, q, s are consecutive primes.at n=8A129190
- Least prime P such that P^(2*prime(n))-P^prime(n)-1 is prime with prime(n) the n-th prime.at n=36A131580
- Primes congruent to 36 mod 53.at n=35A142566
- Primes congruent to 32 mod 59.at n=32A142759
- Primes congruent to 40 mod 61.at n=35A142838
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/10.at n=28A152310
- Number of ways to place 4 nonattacking wazirs on a 4 X n board.at n=7A172230
- Primes of the form 3n^2 + 4.at n=17A201477
- Primes p = 1 mod 6 such that all three iterations p=(6p+1) give primes = 1 mod 6.at n=4A210686
- Primes p such that p-2 and q are primes, where q is concatenation of binary representations of p and p-2: q = p * 2^L + p-2, where L is the length of binary representation of p-2: L=A070939(p-2).at n=23A232237
- Number of partitions p of n such that (number of even numbers in p) > (number of odd numbers in p).at n=43A241640