2,025,232

2⁴ × 11 × 37 × 311

Starting at 2,025,232, the Collatz iteration reaches 1 after 153 steps. The first transition is 1012616; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 37 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,410,432

Proper Divisor Sum 2,385,200

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2025217 ← → #2025241

Radix Representation

Decimal	2025232
Binary	111101110011100010000 (21 bits)
Octal	0o7563420
Hexadecimal	0x1EE710

Divisor Catalog (40)

1 2 4 8 11 16 22 37 44 74 88 148 176 296 311 407 592 622 814 1,244 1,628 2,488 3,256 3,421 4,976 6,512 6,842 11,507 13,684 23,014 27,368 46,028 54,736 92,056 126,577 184,112 253,154 506,308 1,012,616 2,025,232

Collatz Trajectory (153 steps to reach 1)

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

2,025,232 1,012,616 506,308 253,154 126,577 379,732 189,866 94,933 284,800 142,400 71,200 35,600 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 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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