17053
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17054
- 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
- 17052
- Möbius Function
- -1
- Radical
- 17053
- 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
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1968
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5.at n=40A001975
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3.at n=16A050665
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=20A056217
- phi(s(n^3)) is a square, where s(n) is sigma(n)-n (A001065).at n=21A063798
- Primes p such that q-p = 24, where q is the next prime after p.at n=27A098974
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 7.at n=40A109561
- Apocalypse primes: 10^665+a(n) has 666 decimal digits and is prime.at n=10A115983
- Prime sums of 5 positive 5th powers.at n=37A123034
- Primes congruent to 40 mod 53.at n=38A142570
- Primes congruent to 2 mod 59.at n=35A142729
- Primes congruent to 34 mod 61.at n=30A142832
- Primes the squares of which are Fibbinary numbers (A003714).at n=30A144759
- 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, 0), (0, -1, 1), (1, 0, 0)}.at n=10A148559
- Primes p such that p+-2 and p+-3 are not squarefree.at n=8A153214
- Primes of the form 20n^2+8n+1.at n=12A154405
- Number of strictly increasing arrangements of 5 numbers in -(n+3)..(n+3) with sum zero.at n=18A188183
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,2,1,3,4 for x=0,1,2,3,4.at n=17A196132
- Number of n X 5 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=39A201501
- Number of n-element subsets that can be chosen from {1,2,...,9*n} having element sum n*(9*n+1)/2.at n=5A204465
- Number of 5-element subsets that can be chosen from {1,2,...,10*n+5} having element sum 25*n+15.at n=4A204469