2961
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4992
- Proper Divisor Sum (Aliquot Sum)
- 2031
- 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
- 1656
- Möbius Function
- 0
- Radical
- 987
- Omega Function (Ω)
- 4
- 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
- 35
- 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
- Number of free nonplanar polyenoids with n nodes and symmetry point group C_{2v}.at n=12A000947
- Number of restricted solid partitions of n.at n=15A002974
- Number of achiral rooted trees.at n=19A003241
- a(n) = 3 + n/2 + 7*n^2/2.at n=29A006124
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=43A008137
- Coordination sequence T2 for Zeolite Code MTN.at n=33A008187
- Coordination sequence T2 for Zeolite Code NON.at n=33A008213
- E.g.f.: exp(sin(x)/exp(x)).at n=8A009216
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=43A011907
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among triples.at n=16A015646
- Powers of cube root of 11 rounded up.at n=10A018008
- Fibonacci sequence beginning 0, 3.at n=16A022086
- For n odd, >1, not divisible by 3, we can write 3/n = 1/a + 1/b + 1/c with a>b>c>0, a,b,c distinct and odd; sequence gives smallest a.at n=14A027442
- For n != 1 mod 3, we can write 3/(2n+1) = 1/a + 1/b + 1/c with a>b>c>0, a,b,c distinct and odd; sequence gives smallest such a, or 1 if n = 1 mod 3.at n=22A027443
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=34A031891
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=33A031892
- a(n) = n-th prime number * n-th lucky number.at n=14A032601
- Take list of squares, move left digit of each term to end of previous term.at n=37A032760
- a(n) = (3*n - 1)*(4*n - 1).at n=16A033578
- Number of 4-ary rooted trees with n nodes and height exactly 6.at n=13A036630