743
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
- 2
- Divisor Sum
- 744
- 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
- 742
- Möbius Function
- -1
- Radical
- 743
- 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
- 95
- 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
- 132
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- siebenhundertdreiundvierzig· ordinal: siebenhundertdreiundvierzigste
- English
- seven hundred forty-three· ordinal: seven hundred forty-third
- Spanish
- setecientos cuarenta y tres· ordinal: 743º
- French
- sept cent quarante-trois· ordinal: sept cent quarante-troisième
- Italian
- settecentoquarantatre· ordinal: 743º
- Latin
- septingenti quadraginta tres· ordinal: 743.
- Portuguese
- setecentos e quarenta e três· ordinal: 743º
Appears in sequences
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=14A000355
- Primes with 5 as smallest primitive root.at n=20A001124
- Numbers k such that phi(2k-1) < phi(2k), where phi is Euler's totient function A000010.at n=8A001836
- Full reptend primes: primes with primitive root 10.at n=47A001913
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=17A002515
- Numbers that are the sum of 11 positive 5th powers.at n=32A003356
- Numbers divisible only by primes congruent to 1 mod 7.at n=22A004619
- Divisible only by primes congruent to 7 mod 8.at n=43A004628
- Class 3- primes (for definition see A005109).at n=38A005111
- Sophie Germain primes p: 2p+1 is also prime.at n=32A005384
- Primes of the form k^2 + k + 41.at n=26A005846
- Worst cases for Pierce expansions (denominators).at n=15A006538
- Emirps (primes whose reversal is a different prime).at n=24A006567
- Long period primes: the decimal expansion of 1/p has period p-1.at n=48A006883
- Number of connected trivalent graphs with 2n nodes and girth exactly 4.at n=8A006924
- Oscillates under partition transform.at n=31A007213
- Number of partitions of n into partition numbers.at n=31A007279
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=9A007353
- Primes whose reversal in base 10 is also prime (called "palindromic primes" by David Wells, although that name usually refers to A002385). Also called reversible primes.at n=39A007500
- Primes of the form 8n+7, that is, primes congruent to -1 mod 8.at n=32A007522