17191
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17192
- 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
- 17190
- Möbius Function
- -1
- Radical
- 17191
- 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
- 141
- 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
- 1980
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=15A027867
- Initial terms of '4-block' primes as described in A032591.at n=25A032592
- Numbers whose base-7 representation has exactly 6 runs.at n=29A043621
- Let u(1) = u(2) = v(1) = v(2) = 1, u(n+2) = u(n)+v(n+1), v(n+2) = abs(u(n)-v(n+1)), then a(n) = u(n).at n=52A072515
- Primes p such that p's set of distinct digits is {1,7,9}.at n=13A108384
- Numbers n such that pi(n)=reversal(n)-n.at n=6A114926
- Prime numbers p for which none of its digits appear in the decimal expansion of p/pi(p).at n=23A117272
- The upper twin prime whose lower member has a prime index.at n=40A129782
- Primes congruent to 22 mod 59.at n=30A142749
- Primes congruent to 50 mod 61.at n=32A142848
- a(n) = a(n-1)+floor(a(n-2)/4) with a(0)=3, a(1)=4.at n=48A182230
- Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares less than n*30/3.at n=12A183931
- Wiener index of a benzenoid consisting of a chain of n hexagons characterized by the encoding s = 1133 (see the Gutman et al. reference, Sec. 5).at n=14A193399
- Number of (w,x,y,z) with all terms in {1,...,n} and w+y=|x-y|+|y-z|.at n=32A212677
- 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=20A232237
- Number of simple connected graphs g on n nodes with |Aut(g)| = 24.at n=9A241463
- The average Wiener index of the set of all fibonacenes with n hexagons.at n=12A245969
- Partial sums of primes, but with a twist.at n=15A247657
- Prime numbers indexed by oblong numbers.at n=43A254955
- Primes having only {1, 7, 9} as digits.at n=42A260893