608
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1260
- Proper Divisor Sum (Aliquot Sum)
- 652
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 288
- Möbius Function
- 0
- Radical
- 38
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 25
- 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
- sechshundertacht· ordinal: sechshundertachtste
- English
- six hundred eight· ordinal: six hundred eighth
- Spanish
- seiscientos ocho· ordinal: 608º
- French
- six cent huit· ordinal: six cent huitième
- Italian
- seicentootto· ordinal: 608º
- Latin
- sescenti octo· ordinal: 608.
- Portuguese
- seiscentos e oito· ordinal: 608º
Appears in sequences
- Maximum m such that there are no two adjacent elements belonging to the same n-th power residue class modulo some prime p in the sequence 1,2,...,m (equivalently, there is no n-th power residue modulo p in the sequence 1/2,2/3,...,(m-1)/m).at n=7A000236
- Number of bipartite partitions of n white objects and 3 black ones.at n=9A000412
- Numbers beginning with letter 's' in English.at n=32A000870
- Red rooted red-black trees with n internal nodes.at n=11A001138
- Numbers in which every digit contains at least one loop (version 1).at n=18A001743
- Numbers n such that every digit contains a loop (version 2).at n=53A001744
- a(n) = Fibonacci(n+3) - 2.at n=12A001911
- Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n).at n=53A002365
- Number of bipartite partitions of n white objects and 9 black ones.at n=3A002758
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=36A002789
- Low-temperature series in exp(4J/kT) for antiferromagnetic susceptibility for the Ising model on square lattice.at n=6A002979
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=52A002984
- Symmetries in unrooted (1,3) trees on 2n vertices.at n=8A003610
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=8A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=8A004944
- Genocchi medians (or Genocchi numbers of second kind).at n=5A005439
- From a Fibonacci-like differential equation.at n=6A005445
- Number of partitions of 4*n into powers of 4.at n=51A005705
- Series for second parallel moment of square lattice (eventually changes sign).at n=5A006733
- Numbers k such that phi(k) = phi(sigma(k)).at n=29A006872