773
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 774
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 772
- Möbius Function
- -1
- Radical
- 773
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 121
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 137
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- siebenhundertdreiundsiebzig· ordinal: siebenhundertdreiundsiebzigste
- English
- seven hundred seventy-three· ordinal: seven hundred seventy-third
- Spanish
- setecientos setenta y tres· ordinal: 773º
- French
- sept cent soixante-treize· ordinal: sept cent soixante-treizième
- Italian
- settecentosettantatre· ordinal: 773º
- Latin
- septingenti septuaginta tres· ordinal: 773.
- Portuguese
- setecentos e setenta e três· ordinal: 773º
Appears in sequences
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) for n >= 4 with a(0) = a(1) = a(2) = 0 and a(3) = 1.at n=14A000078
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=51A000928
- Primes with primitive root 2.at n=54A001122
- Related to Zarankiewicz's problem.at n=37A001841
- Smallest number that requires n iterations of the unitary totient function (A047994) to reach 1.at n=13A003271
- Numbers that are the sum of 11 positive 7th powers.at n=6A003378
- Numbers that are the sum of 8 nonzero 8th powers.at n=3A003386
- Fibonacci numbers written backwards.at n=14A004091
- Reversals of Fibonacci numbers (sorted).at n=15A004170
- Divisible only by primes congruent to 3 mod 7.at n=45A004621
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=29A004881
- Numbers that are the sum of at most 9 nonzero 8th powers.at n=32A004882
- Numbers that are the sum of at most 10 nonzero 8th powers.at n=35A004883
- Numbers that are the sum of at most 11 nonzero 8th powers.at n=38A004884
- Numbers that are the sum of at most 12 nonzero 8th powers.at n=41A004885
- Class 3+ primes (for definition see A005105).at n=44A005107
- Fortunate numbers: least m > 1 such that m + prime(n)# is prime, where p# denotes the product of all primes <= p.at n=45A005235
- Prime-indexed primes: primes with prime subscripts.at n=32A006450
- Number of symmetry sites in all planted 3-trees with n nodes.at n=12A007136
- Number of subsequences of [ 1,...,n ] in which each odd number has an even neighbor.at n=11A007455