1005
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1632
- Proper Divisor Sum (Aliquot Sum)
- 627
- 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
- 528
- Möbius Function
- -1
- Radical
- 1005
- 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
- 67
- 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 permutations of length n by rises.at n=3A000544
- The coding-theoretic function A(n,4,4).at n=26A001843
- Numbers that are the sum of 6 positive 5th powers.at n=23A003351
- Roman numerals with 1 letter, in numerical order; then those with 2 letters, etc.at n=32A003587
- Roman numerals with 1 letter, in alphabetical order; then those with 2 letters, etc.at n=30A003588
- Number of distinct autocorrelations of binary words of length n.at n=39A005434
- Numbers m such that 4*3^m + 1 is prime.at n=11A005537
- Number of Twopins positions.at n=36A005686
- Number of directed column-convex polyominoes with perimeter 2n+2.at n=7A006027
- 10-gonal (or decagonal) pyramidal numbers: a(n) = n*(n + 1)*(8*n - 5)/6.at n=9A007585
- Coordination sequence T4 for Zeolite Code AFR.at n=24A008022
- Coordination sequence T5 for Zeolite Code EUO.at n=20A008100
- Coordination sequence T1 for Zeolite Code LTN.at n=22A008140
- Coordination sequence T2 for Zeolite Code MEI.at n=23A008147
- Coordination sequence T1 for Zeolite Code -CLO.at n=28A009850
- Coordination sequence T2 for Zeolite Code RTH.at n=22A009894
- Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= [n/2]) = number of permutations of 1..n with [n/2]-k runs of consecutive pairs up and down (divided by 2).at n=16A010030
- Expansion of e.g.f.: sec(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5...at n=6A012418
- Continued fraction for zeta(10).at n=1A013686
- Second term in continued fraction for zeta(n).at n=8A013697