17041
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17042
- 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
- 17040
- Möbius Function
- -1
- Radical
- 17041
- 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
- 79
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1966
- 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) = 9x + 2.at n=38A023296
- Sum of the products of the primes taken 2 at a time from the first n primes.at n=11A024447
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=24A031844
- a(n) is the least prime p, such that next_prime(2*p) - 2*p = 2*n - 1.at n=20A059846
- Class 6+ primes.at n=19A081634
- Squares of the norms of Gaussian primes from A107629.at n=34A107630
- Smallest prime ending a complete Cunningham chain of the second kind (2x-1) of length n.at n=3A110059
- Number triangle T(n,k) = Sum_{j=0..n} C(n-k,j-k)*C(j,n-j)*2^(n-j).at n=46A115991
- Least k such that 10^n + k is a Sophie Germain prime and the lesser of a twin prime pair.at n=25A118580
- Primes of the form 76x^2+20xy+145y^2.at n=31A140629
- Primes of the form 210k + 31.at n=38A140846
- Primes congruent to 28 mod 53.at n=34A142558
- Primes congruent to 49 mod 59.at n=30A142776
- Primes congruent to 22 mod 61.at n=34A142820
- Primes p of the form 4*k+1 for which s=26 is the least positive integer such that s*p-(floor(sqrt(s*p)))^2 is a square.at n=17A145050
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 0), (1, 0, -1), (1, 1, 1)}.at n=8A149607
- a(n) = 11^n + 7^n - 1.at n=4A155658
- Partial sums of A139250.at n=45A160424
- Larger of emirp pairs whose digital sums are also emirps (A178091).at n=32A178093
- Cyclops emirps.at n=23A183057