17406
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 37752
- Proper Divisor Sum (Aliquot Sum)
- 20346
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5796
- Möbius Function
- 0
- Radical
- 5802
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 110
- 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
- yes
- Odd
- no
Appears in sequences
- Numerators of continued fraction convergents to sqrt(515).at n=9A041984
- a(n) = T(3,n), array T given by A047858.at n=11A047860
- The lexicographically earliest sequence of binary encodings of solutions satisfying the equation given in A059871.at n=14A059873
- Coefficients of the sixth-order mock theta function psi_{-}(q).at n=29A153252
- Central element of a series of 5 successive nonsquarefree numbers.at n=8A188296
- Number of (n+1) X (2+1) 0..2 arrays colored with the sets of distinct values in every 2 X 2 subblock, with new values 0..2 introduced row-major order.at n=3A236158
- Number of (n+1)X(4+1) 0..2 arrays colored with the sets of distinct values in every 2X2 subblock, with new values 0..2 introduced row-major order.at n=1A236160
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sets of distinct values in every 2X2 subblock, with new values 0..2 introduced row-major order.at n=11A236164
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sets of distinct values in every 2X2 subblock, with new values 0..2 introduced row-major order.at n=13A236164
- Number of partitions p of n not containing round((min(p) + max(p))/2) as a part.at n=37A238487
- a(n) is the numerator of the generalized continued fraction with terms sigma(m)/m for m=1 to n.at n=7A254059
- Number of nX3 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=4A280475
- T(n,k)=Number of nXk 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=25A280480
- Number of 5Xn 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=2A280484
- Numbers k such that (299*10^k - 17)/3 is prime.at n=22A281063
- Irregular triangle read by rows: coefficients of polynomials arising in calculation of squares of certain web-coloring matrices.at n=37A281351
- a(n) = 3*2*1 - 6*5*4 + 9*8*7 - 12*11*10 + 15*14*13 - 18*17*16 + ... - (up to the n-th term).at n=34A319886