733
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 734
- 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
- 732
- Möbius Function
- -1
- Radical
- 733
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 130
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- siebenhundertdreiunddreißig· ordinal: siebenhundertdreiunddreißigste
- English
- seven hundred thirty-three· ordinal: seven hundred thirty-third
- Spanish
- setecientos treinta y tres· ordinal: 733º
- French
- sept cent trente-trois· ordinal: sept cent trente-troisième
- Italian
- settecentotrentatre· ordinal: 733º
- Latin
- septingenti triginta tres· ordinal: 733.
- Portuguese
- setecentos e trinta e três· ordinal: 733º
Appears in sequences
- Number of inequivalent ways of dissecting a regular (n+2)-gon into n triangles by n-1 non-intersecting diagonals under rotations and reflections; also the number of (unlabeled) maximal outerplanar graphs on n+2 vertices.at n=9A000207
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=17A000922
- Primes with 6 as smallest primitive root.at n=7A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=10A001133
- 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=19A001276
- Numbers that are the sum of 7 positive 5th powers.at n=21A003352
- Numbers that are the sum of 5 positive 6th powers.at n=6A003361
- Absolute primes (or permutable primes): every permutation of the digits is a prime.at n=19A003459
- Numbers of the form 2^j + 3^k, for j and k >= 0.at n=56A004050
- Primes of the form 2^a + 3^b.at n=29A004051
- Divisible only by primes congruent to 5 mod 7.at n=35A004623
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=25A004856
- Numbers that are the sum of at most 6 nonzero 6th powers.at n=32A004857
- Numbers that are the sum of at most 7 nonzero 6th powers.at n=40A004858
- Class 3+ primes (for definition see A005105).at n=43A005107
- Class 3- primes (for definition see A005109).at n=36A005111
- Primes p such that (p+1)/2 is prime.at n=17A005383
- Primes of form k^2 + 4.at n=7A005473
- Numbers k such that 4*3^k - 1 is prime.at n=10A005540
- Positions of remoteness 6 in Beans-Don't-Talk.at n=24A005694