17789
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17790
- 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
- 17788
- Möbius Function
- -1
- Radical
- 17789
- 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
- 185
- 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
- 2041
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form k^2 + (k+1)^2 + (k+2)^2 = 3*(k+1)^2+2.at n=11A027864
- a(n) = lesser of a pair of twin primes p, q=p+2 such that product of first n primes plus p is a prime and also product of first n primes plus q is a prime.at n=37A090795
- Balanced primes of order ten.at n=7A096702
- Balanced primes of order eleven.at n=7A096703
- Primes with digit sum = 32.at n=7A106768
- Terms in A112039 that are divisible by 3, divided by 3.at n=27A112040
- Primes congruent to 34 mod 53.at n=40A142564
- Primes congruent to 30 mod 59.at n=34A142757
- Primes congruent to 38 mod 61.at n=35A142836
- Positions of hexagonal pyramidal numbers in the EKG sequence.at n=29A144080
- Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=32A221981
- Primes of the form 2*n^2 + 62*n + 29.at n=21A243891
- Primes of the form 3n^2 + 2.at n=12A257163
- Least prime p such that pi(p*n) = pi(q*n)^2 for some prime q, where pi(x) denotes the number of primes not exceeding x.at n=41A260140
- Primes p of the form 8*k + 5 such that every odd prime divisor of p-1 has the form 8*t + 7.at n=35A306932
- Integers which can be written in exactly three ways as sum of two distinct nonzero pentagonal numbers.at n=14A333013
- The lesser of twin primes that are also the sum of 3 consecutive primes.at n=41A345042
- Numbers that are both the sum of three consecutive primes and the sum of three consecutive squares.at n=1A388071
- Prime numbersat n=2041