17359
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
- 17360
- 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
- 17358
- Möbius Function
- -1
- Radical
- 17359
- 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
- 172
- 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
- 1996
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 84 ones.at n=11A031852
- Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=22A045080
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=40A054808
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=31A094458
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=42A100697
- Primes with at least one of each odd digit and no even digits.at n=5A108418
- Primes not occurring as |differences| in Cald's sequence A006509.at n=7A117129
- Primes of the form 55x^2+10xy+199y^2.at n=32A140632
- Primes congruent to 28 mod 53.at n=35A142558
- Primes congruent to 13 mod 59.at n=35A142740
- Primes congruent to 35 mod 61.at n=35A142833
- Noncomposite numbers in the northern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American.at n=13A168023
- Primes with eight embedded primes.at n=6A179916
- Primes remaining primes under map 3<=>5 (interchange of decimal digits 3 and 5).at n=28A198047
- G.f. A(x) satisfies A(x) = (1 + x*A(x))*(1 + x^3*A(x)^3).at n=12A198951
- Primes p such that p and p+18 are consecutive primes with equal digital sum.at n=41A209875
- Primes p with each odd decimal digit present at least once.at n=5A232447
- Primes whose base-6 representation also is the base-3 representation of a prime.at n=19A235469
- Primes p such that p^4 - p +/- 1 are twin primes.at n=11A236952
- Number of idempotents in partial Brauer monoid PB_n.at n=6A256032