1066
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1764
- Proper Divisor Sum (Aliquot Sum)
- 698
- 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
- 480
- Möbius Function
- -1
- Radical
- 1066
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- Number of integers <= 2^n of form x^2 - 2y^2.at n=12A000047
- Number of mixed Husimi trees with n nodes; or rooted polygonal cacti with bridges.at n=8A000237
- Related to cumulative height of rooted plane trees.at n=6A000758
- Generalized Stirling numbers, [n+6,6]_5.at n=3A001721
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=48A002644
- Numbers that are the sum of 12 positive 5th powers.at n=50A003357
- Number of permutations of [n] with no 3-term arithmetic progression.at n=10A003407
- Dowling numbers: e.g.f. exp(x + (exp(b*x) - 1)/b), with b=7.at n=4A003579
- Numbers whose sum of divisors is a square.at n=47A006532
- Number of triangles with integer sides and area = n times perimeter.at n=47A007237
- Minimum diameter of an integral set of n points in the plane, not all on a line.at n=42A007285
- Coordination sequence T1 for Zeolite Code BPH.at n=25A008055
- Coordination sequence T3 for Zeolite Code EMT.at n=27A008088
- Coordination sequence for Paracelsian.at n=22A008260
- Number of 3 X 3 symmetric stochastic matrices under row and column permutations.at n=39A008764
- If a, b in sequence, so is ab+6.at n=16A009307
- Coordination sequence for CaF2(1), F position.at n=11A009924
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=26A013583
- Numbers k that divide 4^k + 4.at n=8A015889
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEP = Melanophlogite [Si46O92].qR starting with a T2 atom.at n=10A019156