17449
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17450
- 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
- 17448
- Möbius Function
- -1
- Radical
- 17449
- 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
- 110
- 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
- 2007
- 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) = 5x + 8.at n=28A023286
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 52.at n=0A031640
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=30A031836
- Primes with 14 as smallest positive primitive root.at n=12A061327
- Primes of the form 16*m^2 + 25, m=1,3,5,...at n=8A087856
- Primes of the form 16*m^2 + 25 for m=1,2,3,...at n=15A087857
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=31A091362
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=26A091365
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 12.at n=15A095673
- a(n) = numerator of sum of reciprocals of the terms of the continued fraction for H(n) = Sum_{k=1..n} 1/k.at n=19A112286
- Minimal number m such that Sum_digits(n*m)=n.at n=50A131382
- Primes congruent to 12 mod 53.at n=40A142542
- Primes congruent to 44 mod 59.at n=34A142771
- Primes congruent to 3 mod 61.at n=34A142801
- 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, -1, 0), (-1, 0, -1), (0, 1, 1), (1, -1, -1)}.at n=11A148061
- Numbers k such that 3^k (mod 2^k) is prime.at n=20A178995
- a(n) = Sum_{k=1..n} k*k', where n' is the arithmetic derivative of n.at n=40A190117
- Primes p with prime(p)^2 + (2*p)^2 and p^2 + (2*prime(p))^2 both prime.at n=36A236193
- Erroneous version of A271811 (but for odd primes only).at n=17A271664
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 534", based on the 5-celled von Neumann neighborhood.at n=7A272787