17471
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17472
- 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
- 17470
- Möbius Function
- -1
- Radical
- 17471
- 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
- 141
- 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
- 2009
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=39A002385
- Octal palindromes which are also primes.at n=26A006341
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=32A023271
- Palindromic Super-3 Numbers.at n=2A032751
- Initial prime in set of 4 consecutive primes with common difference 6.at n=12A033451
- Palindromic and prime Fibonacci-lucky numbers.at n=17A039679
- Palindromic primes containing no pair of consecutive equal digits.at n=33A050784
- First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2).at n=12A054800
- Consider sequence of fractions A066657/A066658 produced by ratios of terms in A066720; let m = smallest integer such that all fractions 1/n, 2/n, ..., (n-1)/n have appeared when we reach A066720(m) = k; sequence gives values of m; set a(n) = -1 if some fraction i/n never appears.at n=18A066849
- Numbers n such that phi(n) + sigma(n) = n + reversal(n).at n=40A069217
- Numbers n such that n and 2n+1 are both palindromes.at n=42A069881
- Numbers n for which there are exactly eight k such that n = k + reverse(k).at n=34A072432
- Total sum of prime parts in all partitions of n.at n=23A073118
- Palindromic primes with nonprime middle digit.at n=17A076613
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,6,2).at n=1A078968
- Palindromic primes with middle digit 4.at n=3A082440
- Palindromic prime units W appearing twice in first-order fractal palindromic primes WmW.at n=20A082598
- Smallest palindromic prime that ends (on the least significant side) in prime(n).at n=19A082625
- Smallest palindromic prime that ends (the least significant side) in (2n-1) the n-th odd number, or 0 if no such number exists, e.g., for 2n-1 = 10k + 5, k>0.at n=35A082626
- a(n) = smallest palindromic prime that begins with A082768(n), or 0 if no such number exists.at n=11A082769