3800
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9300
- Proper Divisor Sum (Aliquot Sum)
- 5500
- 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
- 1440
- Möbius Function
- 0
- Radical
- 190
- Omega Function (Ω)
- 6
- 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
- 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
- a(n) = n*(n+1)^2/2.at n=19A006002
- a(n) = 1 + n/2 + 9*n^2/2.at n=29A006137
- Coordination sequence T2 for Zeolite Code JBW.at n=41A008122
- Coordination sequence T1 for Zeolite Code RSN.at n=40A009885
- Powers of cube root of 22 rounded down.at n=8A018039
- Powers of cube root of 22 rounded to nearest integer.at n=8A018040
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=17A020443
- a(n) = n*(21*n + 1)/2.at n=19A022279
- Coordination sequence T3 for Zeolite Code ITE.at n=42A027371
- a(n) = (1/2)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2).at n=41A028724
- Numbers that, when expressed in base 5 and then interpreted in base 10, yield a multiple of the original number.at n=35A032543
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=25A033580
- Coordination sequence T4 for Zeolite Code ESV.at n=41A038411
- The sequence e, given that c is a left shift by one place of b.at n=57A041003
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=37A043076
- Numbers k such that the string 0,0 occurs in the base 10 representation of k but not of k-1.at n=37A044332
- Numbers n such that string 0,0 occurs in the base 10 representation of n but not of n+1.at n=37A044713
- Triangular array read by rows: a(n,k) = Sum_{d|k} mu(d)*U(n,k/d) if k|n else 0, where U(n,k) = A047916(n,k) (1<=k<=n).at n=49A047918
- Number of level partitions of n.at n=50A053197
- Least k for which the integers Floor(k/(m*(m+1))) for m=1,2,...,n are distinct.at n=22A054061