730
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1332
- Proper Divisor Sum (Aliquot Sum)
- 602
- 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
- 288
- Möbius Function
- -1
- Radical
- 730
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 95
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Names
- German
- siebenhundertdreißig· ordinal: siebenhundertdreißigste
- English
- seven hundred thirty· ordinal: seven hundred thirtieth
- Spanish
- setecientos treinta· ordinal: 730º
- French
- sept cent trente· ordinal: sept cent trentième
- Italian
- settecentotrenta· ordinal: 730º
- Latin
- septingenti triginta· ordinal: 730.
- Portuguese
- setecentos e trinta· ordinal: 730º
Appears in sequences
- Number of ways of writing n as a sum of 5 squares.at n=16A000132
- Number of partitions into non-integral powers.at n=10A000158
- Number of symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane).at n=22A000784
- a(n) = n^3 + 1.at n=10A001093
- Numbers that are the sum of 4 cubes in more than 1 way.at n=42A001245
- a(n) = n^2 + 1.at n=27A002522
- a(n) = n^6 + 1.at n=3A002604
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=35A002644
- Numbers that are the sum of 2 positive cubes.at n=34A003325
- Numbers that are the sum of 4 positive 5th powers.at n=12A003349
- Numbers that are the sum of 2 nonzero 6th powers.at n=3A003358
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=19A003405
- Numbers of the form 2^j + 3^k, for j and k >= 0.at n=54A004050
- Number of generalized weak orders on n points.at n=4A004123
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=18A004210
- Numbers that are the sum of at most 4 positive 5th powers.at n=32A004844
- Numbers that are the sum of at most 5 positive 5th powers.at n=47A004845
- Numbers that are the sum of at most 2 nonzero 6th powers.at n=7A004853
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=11A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=16A004855