473
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 528
- Proper Divisor Sum (Aliquot Sum)
- 55
- 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
- 420
- Möbius Function
- 1
- Radical
- 473
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 35
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- vierhundertdreiundsiebzig· ordinal: vierhundertdreiundsiebzigste
- English
- four hundred seventy-three· ordinal: four hundred seventy-third
- Spanish
- cuatrocientos setenta y tres· ordinal: 473º
- French
- quatre cent soixante-treize· ordinal: quatre cent soixante-treizième
- Italian
- quattrocentosettantatre· ordinal: 473º
- Latin
- quadringenti septuaginta tres· ordinal: 473.
- Portuguese
- quatrocentos e setenta e três· ordinal: 473º
Appears in sequences
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=24A000603
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=51A001313
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=41A002641
- a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.at n=55A002791
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=46A002984
- Number of n-level ladder expressions with A001622.at n=9A003006
- Number of partitions of 1/n into 3 reciprocals of positive integers.at n=43A004194
- Divisible only by primes congruent to 3 mod 8.at n=45A004626
- Binary expansion ends 001.at n=58A004768
- Discriminants of totally real cubic fields.at n=11A006832
- Let P(n) of a sequence s(1),s(2),s(3),... be obtained by leaving s(1),...,s(n) fixed and reversing every n consecutive terms thereafter; apply P(2) to 1,2,3,... to get PS(2), then apply P(3) to PS(2) to get PS(3), then apply P(4) to PS(3), etc. This sequence is the limit of PS(n).at n=44A007062
- Number of set-like molecular species of degree n.at n=13A007649
- Number of graphical partitions of biconnected graphs with n nodes.at n=5A007722
- Coordination sequence T1 for Zeolite Code AET.at n=15A008007
- Coordination sequence T3 for Zeolite Code AET.at n=15A008009
- Coordination sequence T1 for Zeolite Code AFI.at n=15A008014
- Coordination sequence T4 for Zeolite Code MEL.at n=14A008153
- Coordination sequence T1 for Zeolite Code YUG.at n=14A008247
- Multiples of 11.at n=43A008593
- Increasing length runs of consecutive composite numbers (records).at n=40A008996