572
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1176
- Proper Divisor Sum (Aliquot Sum)
- 604
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 240
- Möbius Function
- 0
- Radical
- 286
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 105
- 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
- fünfhundertzweiundsiebzig· ordinal: fünfhundertzweiundsiebzigste
- English
- five hundred seventy-two· ordinal: five hundred seventy-second
- Spanish
- quinientos setenta y dos· ordinal: 572º
- French
- cinq cent soixante-douze· ordinal: cinq cent soixante-douzième
- Italian
- cinquecentosettantadue· ordinal: 572º
- Latin
- quingenti septuaginta duo· ordinal: 572.
- Portuguese
- quinhentos e setenta e dois· ordinal: 572º
Appears in sequences
- Numbers k such that phi(k) = phi(k+2).at n=15A001494
- Fourth convolution of Catalan numbers: a(n) = 4*binomial(2*n+3,n)/(n+4).at n=5A002057
- Expansion of (1-4*x)^(3/2) in powers of x.at n=9A002421
- G.f.: (1 + x^3 + x^4 + ... + x^12 + x^15)/Product_{i=1..10} (1 - x^i).at n=16A003403
- Degrees of irreducible representations of alternating group A_13.at n=12A003868
- Degrees of irreducible representations of symmetric group S_13.at n=21A003877
- Degrees of irreducible representations of symmetric group S_13.at n=20A003877
- 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=44A004065
- a(n) is the number of Dyck paths of semilength n+6 having its first peak at height n+1.at n=3A005557
- Start with 4; if k appears then so do 2k+2 and 3k+3. (duplicates omitted.)at n=52A005662
- Primitive pseudoperfect numbers.at n=13A006036
- Primitive nondeficient numbers.at n=12A006039
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=22A006918
- a(n) = 2*binomial(n,3).at n=13A007290
- Numbers k such that sigma(x) = k has exactly 2 solutions.at n=41A007371
- a(n) = a(n-1) + a(n-2) + a(n-3).at n=10A007486
- a(n) = phi(n) * (sigma(n) - n).at n=45A007517
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=27A007621
- Coordination sequence T3 for Zeolite Code AFS and BPH.at n=18A008025
- Coordination sequence T1 for Zeolite Code AWW.at n=17A008045