959
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1104
- Proper Divisor Sum (Aliquot Sum)
- 145
- 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
- 816
- Möbius Function
- 1
- Radical
- 959
- 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
- 129
- 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
- neunhundertneunundfünfzig· ordinal: neunhundertneunundfünfzigste
- English
- nine hundred fifty-nine· ordinal: nine hundred fifty-ninth
- Spanish
- novecientos cincuenta y nueve· ordinal: 959º
- French
- neuf cent cinquante-neuf· ordinal: neuf cent cinquante-neufième
- Italian
- novecentocinquantanove· ordinal: 959º
- Latin
- nongenti quinquaginta novem· ordinal: 959.
- Portuguese
- novecentos e cinquenta e nove· ordinal: 959º
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=31A000223
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.at n=33A004962
- Expansion of e.g.f. exp( tan x ).at n=7A006229
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=15A006285
- Minimum diameter of an integral set of n points in the plane, not all on a line.at n=40A007285
- Number of independent sets in rooted plane trees on n nodes.at n=5A007857
- Coordination sequence T1 for Zeolite Code ANA.at n=20A008031
- Coordination sequence T5 for Zeolite Code BOG.at n=22A008053
- a(n) = n^2 - 2.at n=30A008865
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=26A015617
- Powers of fourth root of 3 rounded down.at n=25A018051
- Powers of fourth root of 3 rounded to nearest integer.at n=25A018052
- Sequence and first differences include all positive integers except 2.at n=38A022443
- a(n) = a(n-1) + b(n-2) for n >= 3, a( ) increasing, given a(1) = 1, a(2) = 3; where b( ) is complement of a( ).at n=39A022940
- a(n) = a(n-1) + c(n-2) for n >= 3, a( ) increasing, given a(1)=1, a(2)=2; where c( ) is complement of a( ).at n=39A022941
- Duplicate of A022443.at n=38A022948
- a(n) = a(n-1) + c(n) for n >= 3, a( ) increasing, given a(1)=1 a(2)=6; where c( ) is complement of a( ).at n=38A022949
- a(n) = a(n-1) + c(n) for n >= 3, a( ) increasing, given a(1)=3 a(2)=6; where c( ) is complement of a( ).at n=38A022952
- Numbers k such that Fib(k) == -13 (mod k).at n=9A023167
- Convolution of A023532 and composite numbers.at n=38A023599