558
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1248
- Proper Divisor Sum (Aliquot Sum)
- 690
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 180
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 43
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- fünfhundertachtundfünfzig· ordinal: fünfhundertachtundfünfzigste
- English
- five hundred fifty-eight· ordinal: five hundred fifty-eighth
- Spanish
- quinientos cincuenta y ocho· ordinal: 558º
- French
- cinq cent cinquante-huit· ordinal: cinq cent cinquante-huitième
- Italian
- cinquecentocinquantotto· ordinal: 558º
- Latin
- quingenti quinquaginta octo· ordinal: 558.
- Portuguese
- quinhentos e cinquenta e oito· ordinal: 558º
Appears in sequences
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=25A000064
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=10A000338
- Number of compositions of n into 3 ordered relatively prime parts.at n=41A000741
- Numbers that are not the sum of 4 tetrahedral numbers.at n=34A000797
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=42A001101
- Number of integral points in a certain sequence of open quadrilaterals.at n=37A002578
- Numbers k such that (k^2 + k + 1)/19 is prime.at n=22A002643
- Value of an urn with n balls of type -1 and n+2 balls of type +1.at n=4A003125
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=20A003219
- Numbers that are the sum of 12 positive 5th powers.at n=25A003357
- Total number of fixed points in planted trees with n nodes.at n=12A005202
- Number of protruded partitions of n with largest part at most 5.at n=9A005406
- Number of column-convex polyominoes with perimeter 2n+2.at n=5A005435
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=49A005662
- Number of degenerate fanout-free Boolean functions of n variables using And, Or, Xor, Not, and Majority gates.at n=3A005740
- Numbers whose ternary expansion contains no 1's.at n=44A005823
- Number of entries in first n rows of Pascal's triangle not divisible by 3.at n=51A006048
- Consider a 2-D cellular automaton generated by the Schrandt-Ulam rule of A170896, but confined to a semi-infinite strip of width n, starting with one ON cell at the top left corner; a(n) is the period of the resulting structure.at n=33A006447
- A grasshopper sequence: closed under n -> 2n+2 and 6n+6.at n=37A007319
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=16A007372