6797
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 979
- 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
- 5820
- Möbius Function
- 1
- Radical
- 6797
- Omega Function (Ω)
- 2
- 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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers whose sum of divisors is a fifth power.at n=19A019423
- Number of elementary edge-subgraphs in Moebius ladder M_n.at n=5A020879
- a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=44A033679
- a(n) = least number not of form [ (a^2/n) ] + [ (b^2)/n ].at n=21A036575
- Largest odd number that can be represented in no more than n ways as p + 2*i^2 where p is 1 or a prime and i >= 0.at n=1A046903
- Integers whose sum of divisors is 6^5 = 7776.at n=14A048255
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 12.at n=26A050961
- Largest odd number that can be represented in exactly n ways as p+2*i^2 where p is 1 or a prime and i >= 0.at n=1A055108
- Staircase of coefficients of polynomials used for column g.f.s of triangle A060923.at n=40A061186
- Composite and every divisor (except 1) contains the digit 7.at n=32A062676
- Smallest of four consecutive integers divisible by four consecutive primes respectively.at n=41A072555
- Partial sums of A035282.at n=42A078472
- Triangle read by rows, where t(n,1) = 1, t(n,m) = t(n,m-1) + (largest noncomposite {1 or prime} in row {n-1}).at n=40A120852
- a(n) integers with digit sum a(n); a(n+1) is the smallest integer > a(n).at n=39A136317
- Number of partitions of n into parts with no prime gaps in their factorization.at n=31A137792
- A144325(n) + A144313(n) + A144315(n).at n=15A144715
- Index k of the semiprime A001358(k) = prime(n) * prime(n+1).at n=37A172348
- a(n) is the smallest number k such that four consecutive prime numbers prime(n), prime(n+1), prime(n+2) and prime(n+3) are divisors of k, k+1, k+2 and k+3 respectively.at n=3A180096
- Floor-Sqrt transform of involution numbers (A000085).at n=16A192677
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210801; see the Formula section.at n=49A210802