17271
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26520
- Proper Divisor Sum (Aliquot Sum)
- 9249
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10800
- Möbius Function
- 0
- Radical
- 5757
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 172
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Palindromic and divisible by 9.at n=30A045644
- a(n) = smallest palindrome > a(n-1) such that a(1)*a(2)*...*a(n) - 1 is a prime.at n=27A051954
- Numbers k such that phi(sigma(k)+k) = sigma(k).at n=15A068366
- Numbers n such that n and 2n+1 are both palindromes.at n=40A069881
- Numbers n for which there are exactly eight k such that n = k + reverse(k).at n=32A072432
- Number of numbers <= prime(n)# having n prime factors (with multiplicity), where prime(n)# = A002110(n) is the n-th primorial.at n=6A077622
- Palindromes in A082939.at n=17A082940
- Palindromes arising in A083125. a(n) = A083125(n)*A083125(n+1).at n=39A083126
- Smallest palindromic multiple (not equal to the number itself) of the palindromes not included earlier.at n=25A085920
- Palindromic Smith numbers.at n=15A098834
- Triangular Kaprekar-like numbers: numbers k such that the base-10 representation of T(k) = k*(k+1)/2 is the concatenation of two numbers x and y such that x + y = k.at n=34A110939
- G.f. satisfies A(x) = 1 + x*(1 + x*A(x)^6)^2.at n=7A137967
- Numbers of the form 110 + p^2. (where p is a prime).at n=31A138693
- 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), (0, 1, 1), (1, -1, 1), (1, 0, -1)}.at n=9A148946
- Number of n X 3 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value 2-x(i,j).at n=3A230670
- T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value 2-x(i,j).at n=18A230675
- Number of 4Xn 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value 2-x(i,j).at n=2A230678
- Numbers n whose square representation in base 10 can be split into three parts whose sum is n.at n=38A254648
- L(p) modulo p^2, where p = prime(n) and L is a Lucas number (A000032).at n=36A268478
- Number of length-n ternary sequences where the sum of each block differs by at most 1 from every other block of the same length.at n=43A274008