17321
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17322
- 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
- 17320
- Möbius Function
- -1
- Radical
- 17321
- 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
- 1991
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Decimal expansion of sqrt(3) rounded to n places.at n=4A011550
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=16A020420
- Trajectory of 1 under map n->27n+1 if n odd, n->n/2 if n even.at n=9A033970
- a(n) is root of square starting with digit 3: first term of runs.at n=7A035070
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=22A052234
- Primes of the form perfect_power(n)+n.at n=20A075781
- Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.at n=39A100558
- Primes congruent to 25 mod 47.at n=39A142376
- Primes congruent to 43 mod 53.at n=36A142573
- Primes congruent to 34 mod 59.at n=33A142761
- Primes congruent to 58 mod 61.at n=29A142856
- 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, 1), (-1, 0, 1), (-1, 1, 1), (1, 0, 1), (1, 1, -1)}.at n=8A149421
- Primes p such that the sum of the digits of p^2 is 16.at n=41A165459
- Number of (n+3) X 9 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=10A188102
- Primes of the form 3*m^2 - 7.at n=15A201718
- Primes p such that 2p^2-1, 3p^2-2 and 4p^2-3 are also prime.at n=8A213079
- Primes whose base-7 representation also is the base-4 representation of a prime.at n=47A235617
- Odd primes p with prime(2*p) - 2*prime(p) and prime(p) - 2*prime((p-1)/2) both prime.at n=46A236075
- Primes of the form 2*n^2+38*n+17.at n=34A243890
- Primes of form n^2 + 4096.at n=18A256836