17383
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17384
- 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
- 17382
- Möbius Function
- -1
- Radical
- 17383
- 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
- 53
- 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
- 1998
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of phi(x) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.at n=29A029552
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 80 ones.at n=13A031848
- Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=21A052166
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=32A052378
- Partial sums of A001891.at n=14A053808
- Numbers k such that phi(k) + phi(k+1) divides sigma(k) + sigma(k+1).at n=23A067282
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=20A094455
- Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...at n=22A098039
- Primes congruent to 52 mod 53.at n=38A142582
- Primes congruent to 37 mod 59.at n=37A142764
- Primes congruent to 59 mod 61.at n=35A142857
- Primes p mentioned in A155214.at n=11A145531
- 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, 0, 1), (-1, 1, 1), (0, 1, -1), (1, -1, 1), (1, 0, 1)}.at n=8A149464
- Primes p such that p^2 - 2 is a 5-almost prime.at n=25A156620
- a(n) = A000045(n+6) - (n^2 + 4*n + 8).at n=16A163250
- A positive integer n is included if n, when written in binary, is made of run-lengths (lengths of runs of 0's as well as of runs of 1's) that form a permutation of some number of consecutive positive integers starting with 1.at n=44A175061
- Primes p such that p plus or minus the sum of the fourth powers of its digits is a prime in both cases.at n=23A179595
- Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,3,9, Q starts with 2,6, R starts with 4; at each stage the smallest number not yet present in P,Q,R is appended to R. Sequence gives P.at n=41A225385
- Number of length 4+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=33A248437
- Consider two consecutive primes {p,q} such that P=2p+q and Q=2q+p are both prime. The sequence gives primes P.at n=37A248482