1003
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1080
- Proper Divisor Sum (Aliquot Sum)
- 77
- 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
- 928
- Möbius Function
- 1
- Radical
- 1003
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 positive integers <= 2^n of form x^2 + 3 y^2.at n=12A000205
- 2^n written in base 5.at n=7A000866
- a(n) = Fibonacci(n) + n.at n=16A002062
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=35A002382
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=25A003402
- Duplicate of A000866.at n=7A004644
- Primes written in base 4.at n=18A004678
- Number of meanders in which first bridge is 5.at n=8A006661
- Primitive modest numbers.at n=37A007627
- Number of symmetric polynomial functions of degree n of a symmetric matrix (of indefinitely large size) under joint row and column permutations. Also number of multigraphs with n edges (allowing loops) on an infinite set of nodes.at n=6A007717
- n written in base where place values are positive squares.at n=18A007961
- Coordination sequence T2 for Zeolite Code AFR.at n=24A008020
- Coordination sequence T1 for Zeolite Code EMT.at n=26A008086
- Coordination sequence T1 for Zeolite Code MEI.at n=23A008146
- Composite but smallest prime factor >= 17.at n=27A008367
- Coordination sequence for MgNi2, Position Mg1.at n=8A009936
- Discriminants of imaginary quadratic fields with class number 4 (negated).at n=44A013658
- Numbers k such that sigma(k) = sigma(k+4).at n=5A015863
- Let m=n+1; a(n) is the least positive integer s, not a multiple of m, such that if 1<=d<=m and (d,m)=1, then d divides one of the numbers s-m, s-2m, ..., s-m[ s/m ].at n=44A018205
- Fibonacci sequence beginning 2, 17.at n=10A022118