587
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
- 588
- 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
- 586
- Möbius Function
- -1
- Radical
- 587
- 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
- 118
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 107
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertsiebenundachtzig· ordinal: fünfhundertsiebenundachtzigste
- English
- five hundred eighty-seven· ordinal: five hundred eighty-seventh
- Spanish
- quinientos ochenta y siete· ordinal: 587º
- French
- cinq cent quatre-vingt-sept· ordinal: cinq cent quatre-vingt-septième
- Italian
- cinquecentoottantasette· ordinal: 587º
- Latin
- quingenti octoginta septem· ordinal: 587.
- Portuguese
- quinhentos e oitenta e sete· ordinal: 587º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=23A000057
- 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=33A000928
- Primes with primitive root 2.at n=44A001122
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=34A001914
- Prime determinants of forms with class number 2.at n=49A002052
- Squares written in base 9.at n=21A002442
- Numbers that are the sum of 10 positive 5th powers.at n=24A003355
- a(0) = 587, a(n) = 3*a(n-1) + 16 for n > 0 (the first 11 terms are primes).at n=0A003539
- Primes congruent to {3, 5, 6} mod 7.at n=54A003625
- Primes of the form 3n-1.at n=55A003627
- Divisible only by primes congruent to 6 mod 7.at n=19A004624
- a(n) = floor(n*phi^5), where phi is the golden ratio, A001622.at n=53A004920
- Class 2+ primes (for definition see A005105).at n=52A005106
- Class 3- primes (for definition see A005109).at n=29A005111
- Safe primes p: (p-1)/2 is also prime.at n=19A005385
- Sums of prime divisors of Ruth-Aaron numbers (A006145).at n=39A006146
- Prime-indexed primes: primes with prime subscripts.at n=27A006450
- Crystal ball sequence for hexagonal close-packing.at n=5A007202
- Primes for which -10 is a primitive root.at n=45A007348
- Primes == 3 (mod 8).at n=29A007520