17029
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17030
- 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
- 17028
- Möbius Function
- -1
- Radical
- 17029
- 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
- 40
- 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
- 1964
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of 1/n into 4 reciprocals of positive integers.at n=36A020327
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones.at n=9A031862
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) = cn(3,5)).at n=54A036815
- Smallest k>1 such that k(p-1)-1 is divisible by p^2, p=n-th prime.at n=31A039914
- Numbers k where cos(k) decreases monotonically to 0.at n=27A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=31A046959
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=28A052351
- Bond percolation series for square lattice near a wall.at n=20A056532
- Number of divisors d of n! such that d+1 is prime.at n=21A067847
- Centered 18-gonal numbers.at n=43A069131
- Primes of the form p^2 - p - 1, where p is prime.at n=14A091568
- Balanced primes of order five.at n=37A096697
- Smallest odd prime p such that n = (p - 1) / ord_p(2).at n=32A101208
- Largest prime divisor of numerator of the n-th Artin's product.at n=31A119534
- Largest prime divisor of numerator of the n-th Artin's product.at n=30A119534
- Primes of the form p^k - p^(k-1) - 1, with p prime and k>1.at n=27A122395
- Primes congruent to 16 mod 53.at n=37A142546
- Primes congruent to 37 mod 59.at n=36A142764
- Primes congruent to 10 mod 61.at n=34A142808
- Primes of the form 4*n^2 + 2*n -1.at n=31A155737