658
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1152
- Proper Divisor Sum (Aliquot Sum)
- 494
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 276
- Möbius Function
- -1
- Radical
- 658
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Names
- German
- sechshundertachtundfünfzig· ordinal: sechshundertachtundfünfzigste
- English
- six hundred fifty-eight· ordinal: six hundred fifty-eighth
- Spanish
- seiscientos cincuenta y ocho· ordinal: 658º
- French
- six cent cinquante-huit· ordinal: six cent cinquante-huitième
- Italian
- seicentocinquantotto· ordinal: 658º
- Latin
- sescenti quinquaginta octo· ordinal: 658.
- Portuguese
- seiscentos e cinquenta e oito· ordinal: 658º
Appears in sequences
- Denominators of convergents to cube root of 3.at n=8A002353
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=28A002381
- a(n) = floor(n(n+2)(2n+1)/8).at n=13A002717
- Numbers that are the sum of 4 nonzero 4th powers.at n=31A003338
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=14A004943
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=14A004963
- Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065).at n=52A005114
- a(n) = 1 + L(n) + F(2*n-1) with {L(n)}_{n>=0} the Lucas numbers (A000032) and F(2*n-1)_{n>=0} the bisected Fibonacci numbers (A001519).at n=8A005522
- Molien series for a certain group of order 52.at n=57A005916
- 4-dimensional analog of centered polygonal numbers.at n=6A006322
- Number of subwords of length n in infinite word generated by a -> aab, b -> b.at n=39A006697
- Euler transform of numbers of preferential arrangements.at n=5A007003
- Coordination sequence T1 for Zeolite Code APD.at n=17A008034
- Multiples of 14.at n=47A008596
- Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)*(1-x^9)).at n=50A008674
- Coordination sequence T5 for Zeolite Code RUT.at n=17A009901
- Pisot sequence E(7,15), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=6A014001
- Successive locations of zeros in decimal expansion of Pi (where locations 1, 2, 3, ... correspond to digits 3, 1, 4, ...).at n=59A014976
- Numbers k such that phi(k) | sigma_11(k).at n=31A015769
- Numbers k such that phi(k) + 12 | sigma(k).at n=23A015805