3801
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
- 8
- Divisor Sum
- 5824
- Proper Divisor Sum (Aliquot Sum)
- 2023
- 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
- 2160
- Möbius Function
- -1
- Radical
- 3801
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 30
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=44A007209
- Coordination sequence T2 for Zeolite Code AWW.at n=44A008046
- exp(arcsinh(x)*exp(x))=1+x+3/2!*x^2+9/3!*x^3+33/4!*x^4+145/5!*x^5...at n=7A012584
- Powers of cube root of 22 rounded up.at n=8A018041
- Pseudoprimes to base 22.at n=28A020150
- Expansion of 1/((1-x)(1-2x)(1-4x)(1-5x)).at n=4A021074
- 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 40.at n=23A031538
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=41A036808
- Odd numbers with only palindromic prime factors whose sum is palindromic (counted with multiplicity).at n=18A046356
- Numbers of the form p*q*r where p,q,r are (not necessarily distinct) odd palindromic primes (odd terms from A002385).at n=42A046373
- Numbers of the form p*q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385).at n=14A046405
- Numbers n such that 289*2^n-1 is prime.at n=13A050903
- 20-gonal (or icosagonal) numbers: a(n) = n*(9*n-8).at n=21A051872
- Number of periodic palindromes using exactly three different symbols.at n=13A056489
- Centered 20-gonal (or icosagonal) numbers.at n=19A069133
- Smallest integer > 1 which is both n-gonal and centered n-gonal.at n=17A072277
- Molien series for action of SL(3,C) on ternary forms of degree 4.at n=23A083024
- Index of first occurrence of n in A090290, or 0 if n does not occur in A090290.at n=46A090291
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=12A090495
- Smallest m such that the decimal representation of the m-th prime interpreted in base n is not a prime, but prime in bases 10 <= b < n.at n=4A091922