3810
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9216
- Proper Divisor Sum (Aliquot Sum)
- 5406
- 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
- 1008
- Möbius Function
- 1
- Radical
- 3810
- 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
- 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
- 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
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=45A008093
- Integers that are squarefree and also the sum of first k squarefrees for some k.at n=40A013932
- a(n) = n*(19*n + 1)/2.at n=20A022277
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=41A026059
- Number of ways to place a non-attacking white and black pawn on n X n chessboard.at n=8A035290
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 4 (mod 5).at n=52A035579
- Number of partitions of n into parts not of the form 17k, 17k+8 or 17k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=30A035969
- Positive numbers having the same set of digits in base 6 and base 9.at n=19A037436
- Coordination sequence T5 for Zeolite Code STT.at n=41A038415
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=38A043076
- Numbers k such that the string 1,0 occurs in the base 10 representation of k but not of k-1.at n=37A044342
- Numbers n such that string 1,0 occurs in the base 10 representation of n but not of n+1.at n=37A044723
- Starting index of a string of 3 or more consecutive equal digits in decimal expansion of Pi.at n=29A049515
- Starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi.at n=23A049519
- Starting positions of strings of 2 4's in the decimal expansion of Pi.at n=37A050230
- Number of partitions of n into distinct parts with 3 levels of parentheses.at n=11A050344
- Third convolution of A001405 (central binomial numbers).at n=8A054443
- Smallest number that can be expressed as the sum of distinct Lucas numbers (A000204) in exactly n ways.at n=42A055635
- Numbers k such that usigma(k) is a square and sets a new record for such squares.at n=13A064443
- Prime(n^2) +/- n are primes.at n=11A064495