576
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 21
- Divisor Sum
- 1651
- Proper Divisor Sum (Aliquot Sum)
- 1075
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 192
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- yes
- 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
- 25
- Smith Number
- yes
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- fünfhundertsechsundsiebzig· ordinal: fünfhundertsechsundsiebzigste
- English
- five hundred seventy-six· ordinal: five hundred seventy-sixth
- Spanish
- quinientos setenta y seis· ordinal: 576º
- French
- cinq cent soixante-seize· ordinal: cinq cent soixante-seizième
- Italian
- cinquecentosettantasei· ordinal: 576º
- Latin
- quingenti septuaginta sex· ordinal: 576.
- Portuguese
- quinhentos e setenta e seis· ordinal: 576º
Appears in sequences
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=40A000114
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=33A000114
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=38A000114
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=51A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=30A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=55A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=46A000118
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=15A000125
- a(n) = a(n-1)*a(n-2)*a(n-3)*a(n-4); for n < 5, a(n) = n.at n=5A000336
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=21A000423
- n followed by n^2.at n=47A000463
- Squares that are not the sum of 2 nonzero squares.at n=17A000548
- Jordan-Polya numbers: products of factorial numbers A000142.at n=26A001013
- a(n) = (n!)^2.at n=4A001044
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=26A001172
- Perfect powers: m^k where m > 0 and k >= 2.at n=32A001597
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=39A001694
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=11A001766
- a(n) = (n+2)*2^(n-1).at n=7A001792
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=38A001996