858
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2016
- Proper Divisor Sum (Aliquot Sum)
- 1158
- 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
- 240
- Möbius Function
- 1
- Radical
- 858
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 103
- 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
- achthundertachtundfünfzig· ordinal: achthundertachtundfünfzigste
- English
- eight hundred fifty-eight· ordinal: eight hundred fifty-eighth
- Spanish
- ochocientos cincuenta y ocho· ordinal: 858º
- French
- huit cent cinquante-huit· ordinal: huit cent cinquante-huitième
- Italian
- ottocentocinquantotto· ordinal: 858º
- Latin
- octingenti quinquaginta octo· ordinal: 858.
- Portuguese
- oitocentos e cinquenta e oito· ordinal: 858º
Appears in sequences
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=27A001307
- Least integer having Radon random number n.at n=11A002661
- Numbers that are the sum of 8 positive 5th powers.at n=28A003353
- Numbers that are the sum of 4 positive 6th powers.at n=7A003360
- Number of nonequivalent dissections of an n-gon into (n-3) polygons by nonintersecting diagonals rooted at a cell up to rotation.at n=5A003442
- a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=40A003508
- Define predecessors of n, P(n), to consist of numbers whose binary representation is obtained from that of n by replacing 10 with 01 or changing a final 1 to a 0; then a(0)=1, a(n) = Sum a(P(n)), n>0.at n=43A004065
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=23A004855
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=31A004856
- Numbers that are the sum of at most 6 nonzero 6th powers.at n=40A004857
- Representation degeneracies for Neveu-Schwarz strings.at n=14A005300
- G.f.: Product_{k>=1} (1 + x^(2*k - 1)) / (1 - x^(2*k)).at n=29A006950
- Super ballot numbers: 6(2n)!/(n!(n+2)!).at n=8A007054
- Consider Leibniz's harmonic triangle (A003506) and look at the non-boundary terms. Sequence gives numbers appearing in denominators, sorted.at n=39A007622
- Giuga numbers: composite numbers n such that p divides n/p - 1 for every prime divisor p of n.at n=1A007850
- Coordination sequence T5 for Zeolite Code AET.at n=20A008011
- Coordination sequence T3 for Zeolite Code AFT.at n=22A008028
- Coordination sequence T6 for Zeolite Code MTW.at n=19A008201
- a(n+1) = a(n)/n if n|a(n) else a(n)*n, a(1) = 1.at n=14A008336
- a(1)=1; for n >= 1, a(n+1) = lcm(a(n),n) / gcd(a(n),n).at n=14A008339