2000
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 2
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 4836
- Proper Divisor Sum (Aliquot Sum)
- 2836
- 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
- 800
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 112
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of writing n as a sum of 5 squares.at n=26A000132
- a(1)=0, a(2n) = a(n)+1, a(2n+1) = 10*a(n+1).at n=24A001202
- Absolute value of Glaisher's alpha(n).at n=16A002290
- Squares written in base 8.at n=31A002441
- Discriminants of totally real quartic fields (see comments).at n=3A002769
- Roman numerals with 1 letter, in numerical order; then those with 2 letters, etc.at n=37A003587
- Roman numerals with 1 letter, in alphabetical order; then those with 2 letters, etc.at n=29A003588
- Numbers of the form 2^i*5^j with i, j >= 0.at n=33A003592
- a(n) = floor(1000*log_2(n)).at n=3A004265
- a(n) = round(1000*log_2(n)).at n=3A004266
- a(n) = ceiling(1000*log_2(n)).at n=3A004267
- Powers of 2 written in base 4.at n=7A004643
- Powers of 2 written in base 8.at n=10A004647
- Powers of 2 written in base 16.at n=13A004655
- Number of ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=15A005337
- a(n) = n*(n+4)*(n+5)/6.at n=20A005586
- Theta series of D_5 lattice.at n=13A005930
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=18A005996
- 'Eban' numbers (the letter 'e' is banned!).at n=19A006933
- Integers written in factorial base.at n=48A007623