17000
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 42120
- Proper Divisor Sum (Aliquot Sum)
- 25120
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6400
- Möbius Function
- 0
- Radical
- 170
- Omega Function (Ω)
- 7
- 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
- 128
- 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
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=19A023081
- Expansion of (theta_3(z)*theta_3(7z) + theta_2(z)*theta_2(7z))^4.at n=14A028596
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 11 (most significant digit on left).at n=42A029456
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 65.at n=28A031563
- Number of nonsquare rectangles on an n X n board.at n=15A052149
- a(n) = floor( n^e ), e = 2.718281828...at n=35A061293
- a(n) = n-th partial concatenation of A051883 divided by n.at n=5A083987
- Row sums of triangle A091063.at n=8A091139
- Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 10 ways.at n=35A097225
- Numbers with at least two 3s in their prime signature.at n=40A109399
- Multiples of 17 containing a 17 in their decimal representation.at n=31A121037
- Number of combinations which can be taken from the integer partitions of n. Total number of cases in the (n,m)-fragmentation process.at n=19A122768
- 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, -1, 0), (-1, 0, 1), (1, 0, 1), (1, 1, -1), (1, 1, 1)}.at n=7A150978
- Number of zig-zag paths from top to bottom of a rectangle of width 9 with n rows whose color is that of the top right corner.at n=13A153363
- Number of zig-zag paths from top to bottom of a rectangle of width 9 with n rows whose color is not that of the top right corner.at n=13A153364
- Number of zig-zag paths from top to bottom of a rectangle of width 9 with 2*n rows whose color is that of the top right corner.at n=6A153365
- 5 times octagonal numbers: a(n) = 5*n*(3*n-2).at n=34A153795
- a(n) = smallest number which has in its Spanish name the letter "m" in the n-th position,or -1 if no such number exists.at n=10A164813
- a(n) = smallest number which has in its Spanish name the letter "l" in the n-th position, or -1 if no such number exists.at n=12A164814
- Integers that can be generated with a C/C++ expression that is shorter than their decimal representation.at n=16A168650