10017
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 7263
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5616
- Möbius Function
- 0
- Radical
- 1113
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 91
- Smith Number
- no
- 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
- Odd integers that do not generate monotonically decreasing infinitary aliquot sequences.at n=23A127667
- Numerator of Sum_{k=0..n} 1/binomial(n,k)^4.at n=5A128152
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 10001-11111 pattern in any orientation.at n=18A147087
- a(n) = 343*n - 273.at n=29A157369
- a(n) = 10*n^2 - 7*n + 1.at n=32A158186
- The 3-D toothpick sequence A160160, but using toothpicks of length 4; a(n) is the number of nodes occupied after n steps.at n=36A160430
- Numbers n such that n^6 + 272 is prime.at n=11A161998
- Numbers k such that 120*k + 1 is a term in A163573.at n=36A163625
- a(n)^3 ends in n^3.at n=17A167178
- Numbers k such that phi(phi(k)) = sigma(rad(k)).at n=21A173748
- The Wiener index of the P_3 X P_n grid, where P_m is the path graph on m nodes. The Wiener index of a connected graph is the sum of distances between all unordered pairs of nodes in the graph.at n=17A180569
- Number of arrangements of 4 numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=15A188359
- 7 times hexagonal numbers: a(n) = 7*n*(2*n-1).at n=27A195320
- Sum of numerators of Farey Sequence of order n.at n=45A213544
- A213784/12.at n=20A213789
- Sum of the first n strobogrammatic numbers.at n=20A230833
- a(n) = A239460(n) / n^2.at n=16A239463
- Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4.at n=6A240188
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4.at n=42A240192
- Number of 7Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4.at n=2A240197