3868
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6776
- Proper Divisor Sum (Aliquot Sum)
- 2908
- 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
- 1932
- Möbius Function
- 0
- Radical
- 1934
- Omega Function (Ω)
- 3
- 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
- 144
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions into non-integral powers.at n=27A000327
- Number of primes < prime(n)^2.at n=42A000879
- Coordination sequence T2 for Zeolite Code MTW.at n=41A008197
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=47A011185
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among triples.at n=14A015656
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=9A020419
- Convolution of Thue-Morse sequence A001285 with primes.at n=36A029888
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=11A031810
- Number of different values of i^2 + j^2 + k^2 for i,j,k in [ 0,n ] (or [ -n,n ]).at n=45A034966
- Revert transform of (1 + 2x - x^2)/(1 + 3x + 2x^2 + x^3).at n=10A049131
- Intrinsic 8-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=28A060878
- Difference between the sum of first n prime numbers and the sum of first n composite numbers.at n=53A072476
- Expansion of (1-x)/(1+x+2*x^2).at n=25A078050
- Even numbers such that all a(i) + a(j) are distinct.at n=36A080432
- Expansion of 1 / Product_{n>=0} (1 - q^(5n+1))*(1 - q^(5n+2))*(1 - q^(5n+4)).at n=40A107235
- Array giving number of (k,2)-noncrossing partitions of [n], read by antidiagonals.at n=63A125311
- a(n) = floor(2^n*(n/3 + 4/9)).at n=10A127985
- Where records occur in A096915.at n=14A137177
- Number of (4,2)-noncrossing partitions of [n].at n=8A140980
- G.f. satisfies A(x) = Product_{k>0} (1+x^k*A(x)).at n=10A145267