6798
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14976
- Proper Divisor Sum (Aliquot Sum)
- 8178
- 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
- 2040
- Möbius Function
- 1
- Radical
- 6798
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 119
- 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(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=45A024920
- Numbers with exactly five distinct base-9 digits.at n=25A031986
- Sort then Add, a(1)=3.at n=12A033893
- Expansion of 1/((1-x)*(1-x^2))^4.at n=12A038164
- Even numbers seen in decimal expansion of Pi (disregarding the decimal period) contiguous, smallest and distinct.at n=34A050818
- McKay-Thompson series of class 26a for Monster.at n=26A058598
- McKay-Thompson series of class 48A for Monster.at n=53A058691
- Expansion of (1+6*x+x^2)/(1-x)^8.at n=6A059600
- Number of nonisomorphic cyclic subgroups of the group A_n X A_n (where A_n is the alternating group of degree n).at n=42A062365
- Triangle of coefficients of polynomials used for g.f.s of columns of A067304.at n=30A067329
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=33A068517
- Gregorian calendar years with Ascension Day in April.at n=24A084427
- a(n) = 100*n^2 - 151*n + 57.at n=8A157626
- Sequence generated from Lim:_{n..inf.} M^n, M = an infinite lower triangular matrix with (1,3,3,3,...) in every column, shifted down twice.at n=31A171370
- Partial sums of A118371.at n=38A173520
- Number of regions in a complete but borderless regular polygon.at n=17A191101
- Number of self-inverse permutations in S_n with longest increasing subsequence of length 10.at n=4A217322
- Number of nX6 arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two.at n=2A221417
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two.at n=30A221419
- Number of 3Xn arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two.at n=5A221421