659
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 660
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 658
- Möbius Function
- -1
- Radical
- 659
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 51
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 120
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- sechshundertneunundfünfzig· ordinal: sechshundertneunundfünfzigste
- English
- six hundred fifty-nine· ordinal: six hundred fifty-ninth
- Spanish
- seiscientos cincuenta y nueve· ordinal: 659º
- French
- six cent cinquante-neuf· ordinal: six cent cinquante-neufième
- Italian
- seicentocinquantanove· ordinal: 659º
- Latin
- sescenti quinquaginta novem· ordinal: 659.
- Portuguese
- seiscentos e cinquenta e nove· ordinal: 659º
Appears in sequences
- Number of asymmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have no symmetry.at n=13A000785
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=42A000928
- Primes with primitive root 2.at n=48A001122
- Lesser of twin primes.at n=29A001359
- Numbers k such that phi(k+2) = phi(k) + 2.at n=45A001838
- Full reptend primes: primes with primitive root 10.at n=43A001913
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=5A002148
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=14A002515
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=31A002642
- Number of solutions to a linear inequality.at n=23A002797
- Primes p with a Fibonacci primitive root g, i.e., such that g^2 = g + 1 (mod p).at n=37A003147
- Numbers that are the sum of 5 positive 4th powers.at n=41A003339
- Divisible only by primes congruent to 4 mod 5.at n=30A004618
- Numbers divisible only by primes congruent to 1 mod 7.at n=19A004619
- Sophie Germain primes p: 2p+1 is also prime.at n=29A005384
- Numerators in a worst case of a Jacobi symbol algorithm.at n=5A005825
- Worst case of a Jacobi symbol algorithm.at n=4A005826
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=16A006378
- Long period primes: the decimal expansion of 1/p has period p-1.at n=44A006883
- Add 7, then reverse digits.at n=53A007398