7773
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 2595
- 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
- 5180
- Möbius Function
- 1
- Radical
- 7773
- 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
- 39
- 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
- Number of stable n-celled patterns ("still lifes") in Conway's Game of Life, up to rotation and reflection.at n=16A019473
- Fibonacci sequence beginning 1, 20.at n=14A022110
- 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 58.at n=30A031556
- Numbers having four 5's in base 6.at n=23A043392
- Numbers having three 7's in base 10.at n=24A043519
- a(n) = T(n,n+3), array T as in A050143.at n=6A050152
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 16.at n=29A050965
- Let Do(n)=A006566(n)=n-th dodecahedral number. Consider all integer triples (i,j,k), j >= k>0, with Do(i)=Do(j)+Do(k), ordered by increasing i; sequence gives j values.at n=4A053018
- a(n) = T(n,n-6), array T as in A055807.at n=9A055811
- Number of stable n-celled patterns ("still lifes") in Conway's game of Life (incorrect version).at n=16A056605
- Numbers k such that 3*2^k + 35 is prime.at n=43A059759
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=30A073735
- Number of balanced numbers <= 2^n.at n=31A078662
- Operation count to create all permutations of n distinct elements using Algorithm L (lexicographic permutation generation) from Knuth's The Art of Computer Programming, Vol. 4, chapter 7.2.1.2. Sequence gives number of loop repetitions in reversal step.at n=5A080048
- Triangle read by rows in which the n-th row contains n distinct numbers whose sum is n^n. The numbers are terms of an arithmetic progression with a common difference 1 or 2 respectively accordingly as n is odd or even.at n=16A080524
- Row sums of triangle A101224, which is related to the Flavius sieve (A000960).at n=20A101105
- Near-repdigit semiprimes with 7 as repeated digit.at n=17A105988
- a(n) is the largest base-8 string such that the n-th number coprime to 8 does not divide any substring of a(n).at n=1A114910
- Expansion of quotient of a Ramanujan false theta series by the theta series of triangular numbers in powers of x.at n=50A143065
- Numbers containing only digits 3 or 7 in decimal representation.at n=28A143967