1004
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 1764
- Proper Divisor Sum (Aliquot Sum)
- 760
- 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
- 500
- Möbius Function
- 0
- Radical
- 502
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 67
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=46A001682
- Primes multiplied by 4.at n=53A001749
- Numbers k such that 15*2^k - 1 is prime.at n=23A002237
- Numbers that are the sum of 5 positive 5th powers.at n=19A003350
- Numbers that are the sum of at most 5 positive 5th powers.at n=54A004845
- Number of unrooted triangulations of a disk with one internal node and n+3 nodes on the boundary.at n=7A005503
- Second-order Eulerian numbers: a(n) = 2^n - 2*n.at n=10A005803
- Numbers whose sum of divisors is a square.at n=45A006532
- Numbers k such that phi(x) = k has exactly 3 solutions.at n=39A007367
- Coordination sequence T1 for Zeolite Code APD.at n=21A008034
- Coordination sequence T3 for Zeolite Code LIO.at n=22A008131
- Coordination sequence T3 for Zeolite Code NON.at n=19A008214
- Second-order Eulerian triangle T(n,k), 1 <= k <= n.at n=37A008517
- Coordination sequence T5 for Zeolite Code RUT.at n=21A009901
- Phi(n) + 5 | sigma(n + 5).at n=18A015784
- Divisors of 1004.at n=5A018770
- Number of lines through exactly 10 points of an n X n grid of points.at n=47A018817
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=9A020367
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly ten 1's.at n=45A020446
- a(n) = F(n+3) + c(n) where F(k) is k-th Fibonacci number and c(n) is n-th number that is 1 or 2 or is not a Fibonacci number.at n=12A022809