λ
Sigma Notebook

504,389

504389
Deficient Odd Prime

504,389 is odd and not a perfect square. Its factorization is 504389 and its 2 divisors sum to 504,390.

Prime Factor Structure

Factorization String 504389
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 504,390
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #504379 ← → #504403

Radix Representation

Decimal 504389
Binary 1111011001001000101 (19 bits)
Octal 0o1731105
Hexadecimal 0x7B245

Divisor Catalog (2)

1 504,389

Collatz Trajectory (89 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

504,389 1,513,168 756,584 378,292 189,146 94,573 283,720 141,860 70,930 35,465 106,396 53,198 26,599 79,798 39,899 119,698 59,849 179,548 89,774 44,887 134,662 67,331 201,994 100,997 302,992 151,496 75,748 37,874 18,937 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200

More profiles

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