6802
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 3998
- 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
- 3204
- Möbius Function
- -1
- Radical
- 6802
- 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
- 88
- Smith Number
- no
- Vampire 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
Appears in sequences
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=20A010007
- n written in fractional base 10/6.at n=52A024661
- Number of partitions of n in which the least part is even.at n=41A026805
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 82.at n=6A031580
- Numbers with exactly five distinct base-9 digits.at n=29A031986
- Numbers whose set of base-13 digits is {1,3}.at n=25A032920
- Sorted elements of table (A035002) of a(m,n) = sum(a(m-k,n), k=1..m-1)+sum(a(m,n-k), k=1..n-1).at n=36A035001
- Maximal base 7 run length is 4.at n=28A037991
- Numbers whose base-7 representation contains exactly four 5's.at n=2A043416
- Number of ways to move a chess rook from the lower left corner to square (n,n), with the rook moving only up or right.at n=5A051708
- Number of walks of length n on the square lattice that start from (0,0) and do not touch the nonpositive real axis once they have left their starting point.at n=7A053791
- Row 3 of A007754.at n=17A058794
- Smallest multiple of n with property that digits are even and each digit is two more (mod 10) than the previous digit; or 0 if no such multiple exists.at n=37A062400
- Smallest multiple of n with property that digits are even and each digit is two more (mod 10) than the previous digit; or 0 if no such multiple exists.at n=18A062400
- A Chebyshev T-sequence with Diophantine property.at n=3A078369
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=24A092230
- Row sums of A095167.at n=18A095170
- Smallest available integer which fits into the repeating pattern 02468.at n=11A098757
- Numbers n such that every digit occurs at least once in n^3.at n=20A119735
- a(n) = n^3 - 3*n.at n=19A121670