1090
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1980
- Proper Divisor Sum (Aliquot Sum)
- 890
- 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
- 432
- Möbius Function
- -1
- Radical
- 1090
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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
- a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.at n=38A001000
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=37A001182
- A Fielder sequence.at n=10A001645
- a(n) = n^2 + 1.at n=33A002522
- Max_{k=0..n} { Number of partitions of n into exactly k parts }.at n=33A002569
- Numbers that are the sum of 5 positive 5th powers.at n=22A003350
- Number of rotationally symmetric polyominoes with n cells (that is, polyominoes with exactly the symmetry group C_2 generated by a 180-degree rotation).at n=14A006747
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=37A007882
- Coordination sequence T1 for Zeolite Code JBW.at n=22A008121
- Coordination sequence T2 for Zeolite Code LTN.at n=23A008141
- Molien series for alternating group Alt_8 (or A_8).at n=25A008631
- Number of partitions of n into at most 8 parts.at n=25A008637
- a(n) is the concatenation of n and 9n.at n=9A009474
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=8A010007
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between triples.at n=12A015635
- Numbers k that divide 4^k + 4.at n=9A015889
- a(n) = smallest k >= n such that k | (2^k + n).at n=65A015948
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=23A017823
- Numbers n such that n is a substring of its square when both are written in base 2.at n=28A018826
- Numbers k such that Fibonacci(k) == 55 (mod k).at n=23A023181