443
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 444
- 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
- 442
- Möbius Function
- -1
- Radical
- 443
- 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
- 53
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 86
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhundertdreiundvierzig· ordinal: vierhundertdreiundvierzigste
- English
- four hundred forty-three· ordinal: four hundred forty-third
- Spanish
- cuatrocientos cuarenta y tres· ordinal: 443º
- French
- quatre cent quarante-trois· ordinal: quatre cent quarante-troisième
- Italian
- quattrocentoquarantatre· ordinal: 443º
- Latin
- quadringenti quadraginta tres· ordinal: 443.
- Portuguese
- quatrocentos e quarenta e três· ordinal: 443º
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=16A000057
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=10A000355
- Numbers that are not the sum of 4 tetrahedral numbers.at n=29A000797
- Number of switching networks with C(2,n) acting on the domain and AG(2,2) acting on the range.at n=2A000883
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=49A001032
- Primes with primitive root 2.at n=34A001122
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=15A001276
- A Fielder sequence.at n=9A001643
- a(n) = a(n-1) + a(n-2) + a(n-3), a(0)=3, a(1)=1, a(2)=3.at n=10A001644
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=27A001914
- Primes p such that the congruence 2^x == 3 (mod p) is solvable.at n=50A001915
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=46A001916
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=23A002053
- Primes of the form 4*k + 3.at n=43A002145
- Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = x.at n=48A002367
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=12A002515
- Number of integral points in a certain sequence of open quadrilaterals.at n=33A002578
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=39A002641
- Number of restricted solid partitions of n.at n=11A002974
- Primes of the form 3n-1.at n=43A003627