688
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 1364
- Proper Divisor Sum (Aliquot Sum)
- 676
- 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
- 336
- Möbius Function
- 0
- Radical
- 86
- Omega Function (Ω)
- 5
- 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
- 33
- 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
- sechshundertachtundachtzig· ordinal: sechshundertachtundachtzigste
- English
- six hundred eighty-eight· ordinal: six hundred eighty-eighth
- Spanish
- seiscientos ochenta y ocho· ordinal: 688º
- French
- six cent quatre-vingt-huit· ordinal: six cent quatre-vingt-huitième
- Italian
- seicentoottantotto· ordinal: 688º
- Latin
- sescenti octoginta octo· ordinal: 688.
- Portuguese
- seiscentos e oitenta e oito· ordinal: 688º
Appears in sequences
- Number of glycols with n carbon atoms.at n=7A000634
- Number of black-rooted red-black trees with n internal nodes.at n=11A001137
- Numbers in which every digit contains at least one loop (version 1).at n=26A001743
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=23A002311
- A generalized partition function.at n=12A002598
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=32A002644
- Beginnings of periodic unitary aliquot sequences.at n=55A003062
- Number of Hamiltonian paths in P_3 X P_n.at n=6A003685
- Number of points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=7A005905
- Numbers k such that k^16 + 1 is prime.at n=31A006313
- Record number of steps to reach 1 in '3x+1' problem, corresponding to starting values in A006877.at n=54A006878
- 7th-order maximal independent sets in cycle graph.at n=42A007389
- Coordination sequence T3 for Zeolite Code ATS.at n=19A008040
- Coordination sequence T1 for Zeolite Code KFI.at n=20A008123
- Coordination sequence T1 for Zeolite Code MEI.at n=19A008146
- Coordination sequence T2 for Zeolite Code PHI.at n=19A008228
- Coordination sequence T2 for Zeolite Code YUG.at n=17A008248
- Coordination sequence for 8-dimensional cubic lattice.at n=3A008416
- Number of partitions of n into parts >= 4.at n=40A008484
- Coordination sequence for {A_7}* lattice.at n=3A008535