17290
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 23030
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- -1
- Radical
- 17290
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- 35
- 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
- Numbers k such that k | 10^k + 10.at n=20A015902
- Expansion of 1/((1-8*x)*(1-9*x)*(1-10*x)*(1-11*x)).at n=3A016075
- Self-convolution of composite numbers.at n=31A023648
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026714.at n=12A026722
- Rhombi (in 3 different orientations) in a rhombus with 60-degree acute angles.at n=34A052153
- Number of symmetric types of (3,2n)-hypergraphs under action of complementing group C(3,2).at n=37A055780
- When expressed in base 2 and then interpreted in base 7, is a multiple of the original number.at n=34A062848
- Numbers which can be expressed as the product of a number and its reversal in at least two different ways.at n=12A066531
- a(n) = (3*n+1)*(3*n+4).at n=43A085001
- a(0)=1; a(n) = sigma_1(n) + sigma_2(n) + sigma_3(n).at n=24A092347
- a(n) = A019565(n-th prime).at n=39A109163
- Triangle read by rows: T(n,k) (0 <= k <= floor(n/2)) is the number of Delannoy paths of length n, having k EE's crossing the line y = x (i.e., two consecutive E steps from the line y = x+1 to the line y = x-1).at n=17A110121
- Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=26A135126
- Numbers such that the digital sums in bases 3, 4, 5, 6 and 7 all are equal.at n=14A135129
- Multiples of 1729, the Hardy-Ramanujan number.at n=10A138129
- Number of n X n arrays of squares of integers with every 3X3 subblock summing to 13.at n=1A159213
- Number of n X n arrays of squares of integers with every (n-1) X (n-1) subblock summing to 13.at n=1A159390
- a(n) = 7*A000330(n).at n=19A169607
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical, diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-2.at n=18A211911
- a(n) = n*(n + 1)*(5*n - 4)/2.at n=19A237616