3807
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 5808
- Proper Divisor Sum (Aliquot Sum)
- 2001
- 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
- 2484
- Möbius Function
- 0
- Radical
- 141
- Omega Function (Ω)
- 5
- 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
- 131
- 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
- a(n) = floor(1000*log_2(n)).at n=13A004265
- a(n) = round(1000*log_2(n)).at n=13A004266
- Expansion of susceptibility series related to Potts model.at n=4A007277
- a(n) is the smallest positive number such that the sum of A001032(n) consecutive squares starting with a(n)^2 is a square.at n=28A007475
- Powers of fifth root of 19 rounded up.at n=14A018170
- a(n) = [ Sum{(log(j)-log(i))^3} ], 2 <= i < j <= n.at n=54A025207
- Number of prime powers (p^2, p^3, ...) <= 2^n.at n=29A036386
- Number of ternary rooted trees with n nodes and height exactly 8.at n=14A036423
- Coordination sequence T1 for Zeolite Code ESV.at n=41A038409
- Sums of 10 distinct powers of 2.at n=32A038461
- Base-8 palindromes that start with 7.at n=13A043027
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=40A044339
- Numbers whose base-4 representation contains exactly one 1 and four 3's.at n=33A045118
- Numbers whose base-4 representation contains exactly one 2 and four 3's.at n=31A045142
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=17A045231
- Odd numbers divisible by exactly 5 primes (counted with multiplicity).at n=37A046318
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = 1, a(2) = 3, and a(3) = 2.at n=13A049920
- Central column of arrays in A057027 and A057028.at n=43A057029
- McKay-Thompson series of class 14B for Monster.at n=26A058503
- Number of matroids on n labeled points.at n=6A058673