117
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 182
- Proper Divisor Sum (Aliquot Sum)
- 65
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 72
- Möbius Function
- 0
- Radical
- 39
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- yes
- 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
- 20
- Smith 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
Names
- German
- einshundertsiebzehn· ordinal: einshundertsiebzehnste
- English
- one hundred seventeen· ordinal: one hundred seventeenth
- Spanish
- ciento diecisiete· ordinal: 117º
- French
- cent dix-sept· ordinal: cent dix-septième
- Italian
- centodiciassette· ordinal: 117º
- Latin
- centum septendecim· ordinal: 117.
- Portuguese
- cento e dezessete· ordinal: 117º
Appears in sequences
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=58A000069
- Number of nonisomorphic minimal triangle graphs.at n=7A000080
- a(n) = floor(n^(3/2)).at n=24A000093
- Number of n-node unlabeled connected graphs with one cycle of length 3.at n=6A000226
- 3*n - 2*floor(sqrt(4*n+5)) + 5.at n=46A000277
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=9A000326
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=4A000338
- Numbers where total number of 1-bits in the exponents of their prime factorization is even; a 2-way classification of integers: complement of A000028.at n=59A000379
- Numbers that are the sum of 2 nonzero squares.at n=41A000404
- Numbers that are the sum of 2 but no fewer nonzero squares.at n=39A000415
- n written in base where place values are positive cubes.at n=42A000433
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=13A000511
- Number of nonnegative solutions of x^2 + y^2 = z in first n shells.at n=55A000592
- Related to population of numbers of form x^2 + y^2.at n=8A000694
- Expansion of Product_{k>=0} (1 + x^(2k+1)); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes.at n=52A000700
- Numbers beginning with a vowel in English.at n=31A000852
- Numbers beginning with letter 'o' in English.at n=18A000865
- Number of twin prime pairs < square of n-th prime.at n=18A000885
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=38A000916
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=12A000969