786
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1584
- Proper Divisor Sum (Aliquot Sum)
- 798
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 260
- Möbius Function
- -1
- Radical
- 786
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 59
- 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
- siebenhundertsechsundachtzig· ordinal: siebenhundertsechsundachtzigste
- English
- seven hundred eighty-six· ordinal: seven hundred eighty-sixth
- Spanish
- setecientos ochenta y seis· ordinal: 786º
- French
- sept cent quatre-vingt-six· ordinal: sept cent quatre-vingt-sixième
- Italian
- settecentoottantasei· ordinal: 786º
- Latin
- septingenti octoginta sex· ordinal: 786.
- Portuguese
- setecentos e oitenta e seis· ordinal: 786º
Appears in sequences
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=28A000064
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=25A000123
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=36A001682
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=11A001860
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=36A005710
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=27A005733
- a(n) = floor(tau*a(n-2)) + a(n-1) with a(0)=0 and a(1)=1.at n=13A005833
- 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=14A005899
- Series for second perpendicular moment of square lattice (eventually changes sign).at n=7A006730
- Number of indefinitely growing n-step self-avoiding walks on Manhattan lattice.at n=11A006745
- Positive even numbers that are not the sum of a pair of twin primes.at n=12A007534
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=43A007621
- Coordination sequence T4 for Zeolite Code MOR.at n=18A008185
- Coordination sequence T2 for Zeolite Code MTT.at n=17A008190
- n-th derivative of x^(1/x) at x=1.at n=6A008405
- Expansion of (1-x^6) / (1-x)^6.at n=7A008488
- Molien series for Weyl group E_8.at n=43A008582
- Coefficients in expansion of Euler's constant gamma as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=45A009929
- a(0) = 1, a(n) = n^2 + 2 for n > 0.at n=28A010000
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=7A010006