2,037,450

2 × 3 × 5² × 17² × 47

Starting at 2,037,450, the Collatz iteration reaches 1 after 153 steps. The first transition is 1018725; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 17^2 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 5,481,792

Proper Divisor Sum 3,444,342

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2037449 ← → #2037457

Radix Representation

Decimal	2037450
Binary	111110001011011001010 (21 bits)
Octal	0o7613312
Hexadecimal	0x1F16CA

Divisor Catalog (60 of 72)

1 2 3 5 6 10 15 17 25 30 34 47 50 51 75 85 94 102 141 150 170 235 255 282 289 425 470 510 578 705 799 850 867 1,175 1,275 1,410 1,445 1,598 1,734 2,350 2,397 2,550 2,890 3,525 3,995 4,335 4,794 7,050 7,225 7,990 8,670 11,985 13,583 14,450 19,975 21,675 23,970 27,166 39,950 40,749

Collatz Trajectory (153 steps to reach 1)

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

2,037,450 1,018,725 3,056,176 1,528,088 764,044 382,022 191,011 573,034 286,517 859,552 429,776 214,888 107,444 53,722 26,861 80,584 40,292 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364

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