1,728,003

3 × 576001

Starting at 1,728,003, the Collatz iteration reaches 1 after 189 steps. The first transition is 5184010; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 576001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,304,008

Proper Divisor Sum 576,005

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1727989 ← → #1728017

Radix Representation

Decimal	1728003
Binary	110100101111000000011 (21 bits)
Octal	0o6457003
Hexadecimal	0x1A5E03

Divisor Catalog (4)

1 3 576,001 1,728,003

Collatz Trajectory (189 steps to reach 1)

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

1,728,003 5,184,010 2,592,005 7,776,016 3,888,008 1,944,004 972,002 486,001 1,458,004 729,002 364,501 1,093,504 546,752 273,376 136,688 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829

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