17170
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 33048
- Proper Divisor Sum (Aliquot Sum)
- 15878
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6400
- Möbius Function
- 1
- Radical
- 17170
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 172
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=22A023081
- Number of primes less than 10000n.at n=18A038813
- Numbers whose base-7 representation has exactly 6 runs.at n=11A043621
- Numbers n such that determinant[{{n,phi(n)},{n+1,phi(n+1)}}]is a perfect square.at n=13A067571
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a.at n=28A096031
- a(n) = 2 + floor((1 + Sum_{j=1..n-1} a(j))/5).at n=50A120171
- 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, 0), (0, -1, 0), (0, 1, -1), (1, 0, 1), (1, 1, 1)}.at n=7A150993
- 10 times pentagonal numbers: a(n) = 5*n*(3*n-1).at n=34A153780
- The number of homogeneous trisubstituted linear alkanes.at n=29A159938
- Row sums of A181851.at n=12A181849
- Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) having k uhd strings.at n=37A247290
- Numbers k that are the product of four distinct primes such that x^2+y^2 = k has integer solutions.at n=26A248712
- Number of (7+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically.at n=9A253704
- Growth series for affine Coxeter group (or affine Weyl group) D_10.at n=7A266765
- Growth series for affine Coxeter group B_10.at n=7A267173
- Like 4-white numbers but with blocks of 4 starting at left.at n=6A277397
- Number of compositions of n whose run-lengths are either strictly increasing or strictly decreasing.at n=40A333191
- a(n) = Sum_{k=1..n} (-1)^(k+1) * floor(n/(2*k-1))^3.at n=25A350163
- Numbers k such that the k-th composition in standard order is a non-alternating permutation of an initial interval of positive integers.at n=31A350250
- Products of four distinct primes between sphenic numbers (products of 3 distinct primes).at n=4A351382