3773
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4800
- Proper Divisor Sum (Aliquot Sum)
- 1027
- 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
- 2940
- Möbius Function
- 0
- Radical
- 77
- Omega Function (Ω)
- 4
- 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
- 38
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Genus of modular group Gamma(n) = genus of modular curve Chi(n).at n=45A001767
- Numbers that are the sum of 7 positive 6th powers.at n=32A003363
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection.at n=41A003453
- Number of rigid tournaments with n nodes.at n=7A003507
- Numbers of the form 7^i*11^j.at n=11A003599
- a(n) = a(n-1) + a(n - 1 - number of even terms so far).at n=34A006336
- Coordination sequence T1 for Zeolite Code NON.at n=37A008212
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=28A020383
- Number of partitions of n that do not contain 8 as a part.at n=29A027342
- Numbers k such that 245*2^k+1 is prime.at n=20A032499
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=34A032695
- Number of polygonal cacti (Husimi graphs) with n nodes.at n=16A035085
- Nonsquarefree palindromes.at n=50A035132
- Cubeful (i.e., not cubefree) palindromes.at n=20A035133
- Composite numbers whose prime factors contain no digits other than 1 and 7.at n=20A036307
- Numbers whose prime factors are in {5, 7, 11}.at n=29A036490
- Base-10 palindromes that starts with 3.at n=19A043038
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=34A043076
- Numbers whose base-7 representation contains exactly three 0's.at n=27A043395
- Palindromic and divisible by 7.at n=20A045642