1,731,250

2 × 5⁵ × 277

Starting at 1,731,250, the Collatz iteration reaches 1 after 96 steps. The first transition is 865625; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^5 × 277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,257,604

Proper Divisor Sum 1,526,354

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1731227 ← → #1731251

Radix Representation

Decimal	1731250
Binary	110100110101010110010 (21 bits)
Octal	0o6465262
Hexadecimal	0x1A6AB2

Divisor Catalog (24)

1 2 5 10 25 50 125 250 277 554 625 1,250 1,385 2,770 3,125 6,250 6,925 13,850 34,625 69,250 173,125 346,250 865,625 1,731,250

Collatz Trajectory (96 steps to reach 1)

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

1,731,250 865,625 2,596,876 1,298,438 649,219 1,947,658 973,829 2,921,488 1,460,744 730,372 365,186 182,593 547,780 273,890 136,945 410,836 205,418 102,709 308,128 154,064 77,032 38,516 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834

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