578
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 921
- Proper Divisor Sum (Aliquot Sum)
- 343
- 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
- 272
- Möbius Function
- 0
- Radical
- 34
- Omega Function (Ω)
- 3
- 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
- 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
- 30
- Smith Number
- no
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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- fünfhundertachtundsiebzig· ordinal: fünfhundertachtundsiebzigste
- English
- five hundred seventy-eight· ordinal: five hundred seventy-eighth
- Spanish
- quinientos setenta y ocho· ordinal: 578º
- French
- cinq cent soixante-dix-huit· ordinal: cinq cent soixante-dix-huitième
- Italian
- cinquecentosettantotto· ordinal: 578º
- Latin
- quingenti septuaginta octo· ordinal: 578.
- Portuguese
- quinhentos e setenta e oito· ordinal: 578º
Appears in sequences
- a(n) = ceiling(n^2/2).at n=34A000982
- a(n) = 2*n^2.at n=17A001105
- A Fielder sequence.at n=9A001645
- Numbers k such that phi(2k-1) < phi(2k), where phi is Euler's totient function A000010.at n=6A001836
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=48A002641
- Beginnings of periodic unitary aliquot sequences.at n=48A003062
- Numbers that are the sum of 11 positive 6th powers.at n=9A003367
- 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=18A003405
- Sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=57A004125
- a(n) is the number of integers m which take n steps to reach 1 in '3x+1' problem.at n=29A005186
- Number of elementary sequences of length n.at n=7A005268
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=12A005899
- Minimum diameter of an integral set of n points in the plane, not all on a line.at n=32A007285
- Apocalyptic powers: 2^a(n) contains 666.at n=37A007356
- a(n) = floor(n^2/2).at n=34A007590
- a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.at n=50A007618
- Numbers that are the sum of 2 nonzero squares in 2 or more ways.at n=37A007692
- Coordination sequence T2 for Zeolite Code AFY.at n=20A008030
- Coordination sequence T1 for Zeolite Code BOG.at n=17A008049
- Multiples of 17.at n=34A008599