17027
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17028
- 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
- 17026
- Möbius Function
- -1
- Radical
- 17027
- 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
- 128
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1963
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (3^k + 1)/4 is prime.at n=18A007658
- Primes which are not the sum of consecutive composite numbers.at n=38A037174
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=34A052163
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 8*p+1 (A023228) is also prime.at n=39A075706
- Primes from merging of 5 successive digits in decimal expansion of e.at n=29A104846
- sigma(n) plus the n-th prime gives a cube.at n=7A114081
- Primes of the form n^2+5*n+c (n>=0), where c=3 for even n and c=-3 for odd n.at n=29A117012
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=27A117458
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k columns of odd length (0<=k<=n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=52A121745
- 1 together with terms of A037174.at n=39A140464
- Primes congruent to 14 mod 53.at n=36A142544
- Primes congruent to 35 mod 59.at n=36A142762
- Primes congruent to 8 mod 61.at n=35A142806
- List of 4-tuples of twin primes q, p, p+2 and q+2 such that 3*q < 2*p < 2*(p+2) < 3*(q+2).at n=45A177433
- Primes p such that p + d and p - d are primes, where d is the sum of floors of square roots of the digits of p.at n=39A179634
- Central term of nine successive primes whose average is a prime.at n=31A180457
- a(n) = b_f(n) where f is the 2-periodic sequence f(k) = (-1)^k (see comments).at n=14A186265
- a(n) is the smallest prime(m) such that the interval (prime(m)*n, prime(m+1)*n) contains exactly two primes.at n=47A187809
- Smallest prime p such that n primes exist between the prime triple (p, p+2, p+6) and the next prime triple.at n=33A214450
- a(n) = the first member of a twin prime pair whose sum equals the sums of n consecutive pairs of twin primes.at n=30A226719