159
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 216
- Proper Divisor Sum (Aliquot Sum)
- 57
- 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
- 104
- Möbius Function
- 1
- Radical
- 159
- Omega Function (Ω)
- 2
- 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
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- einshundertneunundfünfzig· ordinal: einshundertneunundfünfzigste
- English
- one hundred fifty-nine· ordinal: one hundred fifty-ninth
- Spanish
- ciento cincuenta y nueve· ordinal: 159º
- French
- cent cinquante-neuf· ordinal: cent cinquante-neufième
- Italian
- centocinquantanove· ordinal: 159º
- Latin
- centum quinquaginta novem· ordinal: 159.
- Portuguese
- cento e cinquenta e nove· ordinal: 159º
Appears in sequences
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=16A000064
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=50A000134
- Number of partitions into non-integral powers.at n=5A000298
- Topswops (1): start by shuffling n cards labeled 1..n. If top card is m, reverse order of top m cards, then repeat. a(n) is the maximal number of steps before top card is 1.at n=16A000375
- Topswops (2): start by shuffling n cards labeled 1..n. If the top card is m, reverse the order of the top m cards. Repeat until 1 gets to the top, then stop. Suppose the whole deck is now sorted (if not, discard this case). a(n) is the maximal number of steps before 1 got to the top.at n=16A000376
- A Beatty sequence: [ n(e+1) ].at n=42A000572
- Number of n-node unrooted quartic trees; number of n-carbon alkanes C(n)H(2n+2) ignoring stereoisomers.at n=11A000602
- Total number of 1's in binary expansions of 0, ..., n.at n=56A000788
- Lucky numbers.at n=32A000959
- Number of distinct quadratic residues mod 10^n; also number of distinct n-digit endings of base-10 squares.at n=3A000993
- Number of minimally 2-edge-connected non-isomorphic graphs with n nodes.at n=7A001072
- Erroneous version of A002572.at n=11A001180
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=16A001305
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=33A001310
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=32A001310
- Semiprimes (or biprimes): products of two primes.at n=52A001358
- a(n) = 3 * prime(n).at n=15A001748
- Sorting numbers: maximal number of comparisons for sorting n elements by binary insertion.at n=36A001855
- Beatty sequence of (5+sqrt(13))/2.at n=36A001956
- v-pile counts for the 4-Wythoff game with i=2.at n=30A001966