1000
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 1
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2340
- Proper Divisor Sum (Aliquot Sum)
- 1340
- 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
- 400
- Möbius Function
- 0
- Radical
- 10
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 111
- 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
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- tausend· ordinal: tausendste
- English
- one thousand· ordinal: 1000th
- Spanish
- mil· ordinal: 1000º
- French
- mille· ordinal: millième
- Italian
- mille· ordinal: 1000º
- Latin
- mille· ordinal: 1000.
- Portuguese
- mil· ordinal: 1000º
Appears in sequences
- Conjectured dimension of a module associated with the free commutative Moufang loop with n generators.at n=6A000373
- Numbers written in base of triangular numbers.at n=9A000462
- The cubes: a(n) = n^3.at n=10A000578
- Expansion of Product (1 - x^k)^8 in powers of x.at n=33A000731
- Number of compositions of n into 5 ordered relatively prime parts.at n=10A000743
- Number of primes < prime(n)^2.at n=23A000879
- a(1)=0, a(2n) = a(n)+1, a(2n+1) = 10*a(n+1).at n=8A001202
- Perfect powers: m^k where m > 0 and k >= 2.at n=40A001597
- Numbers with an even number of digits.at n=90A001637
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=53A001694
- 8 in base 10-n.at n=8A001732
- Squares written in base 4.at n=8A001739
- Generalized sum of divisors function.at n=26A002132
- Squares written in base 9.at n=26A002442
- a(n) = n*phi(n).at n=49A002618
- Squares and cubes.at n=38A002760
- Number of unrooted achiral trees with n nodes.at n=21A003244
- Roman numerals with 1 letter, in numerical order; then those with 2 letters, etc.at n=6A003587
- Roman numerals with 1 letter, in alphabetical order; then those with 2 letters, etc.at n=4A003588
- Numbers of the form 2^i*5^j with i, j >= 0.at n=28A003592