493
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 540
- Proper Divisor Sum (Aliquot Sum)
- 47
- 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
- 448
- Möbius Function
- 1
- Radical
- 493
- 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
- 48
- 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
- vierhundertdreiundneunzig· ordinal: vierhundertdreiundneunzigste
- English
- four hundred ninety-three· ordinal: four hundred ninety-third
- Spanish
- cuatrocientos noventa y tres· ordinal: 493º
- French
- quatre cent quatre-vingt-treize· ordinal: quatre cent quatre-vingt-treizième
- Italian
- quattrocentonovantatre· ordinal: 493º
- Latin
- quadringenti nonaginta tres· ordinal: 493.
- Portuguese
- quatrocentos e noventa e três· ordinal: 493º
Appears in sequences
- Number of binary necklaces of length n with no subsequence 00, excluding the necklace "0".at n=18A000358
- Number of different shapes formed by bending a piece of wire of length n in the plane.at n=8A001997
- Odd squarefree numbers with an even number of prime factors that have no prime factors greater than 31.at n=39A002557
- Number of integral points in a certain sequence of closed quadrilaterals.at n=32A002579
- Number of solutions to a linear inequality.at n=20A002797
- Number of partitions of n into parts 5k+2 or 5k+3.at n=47A003106
- Numbers that are the sum of 9 positive 5th powers.at n=18A003354
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=42A003635
- a(n) = floor(Fibonacci(n)/2).at n=16A004695
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=17A004922
- a(n) = Sum_{k=0..floor(n/4)} binomial(n-2k,2k).at n=15A005252
- Sums of prime divisors of Ruth-Aaron numbers (A006145).at n=50A006146
- Numbers that are the sum of 2 nonzero squares in 2 or more ways.at n=29A007692
- a(n) is the largest odd number k such that 9, 11, ..., k are sums of 3 of first n odd primes.at n=37A007962
- Coordination sequence T1 for Zeolite Code AFS.at n=17A008023
- Coordination sequence T2 for Zeolite Code AFS.at n=17A008024
- Coordination sequence T1 for Zeolite Code BPH.at n=17A008055
- Coordination sequence T2 for Zeolite Code BPH.at n=17A008056
- Coordination sequence T1 for Zeolite Code CHA.at n=17A008066
- Coordination sequence T3 for Zeolite Code EUO.at n=14A008098