1,632,708

2² × 3² × 7 × 11 × 19 × 31

Starting at 1,632,708, the Collatz iteration reaches 1 after 88 steps. The first transition is 816354; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11 × 19 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 5,591,040

Proper Divisor Sum 3,958,332

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1632703 ← → #1632749

Radix Representation

Decimal	1632708
Binary	110001110100111000100 (21 bits)
Octal	0o6164704
Hexadecimal	0x18E9C4

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 31 33 36 38 42 44 57 62 63 66 76 77 84 93 99 114 124 126 132 133 154 171 186 198 209 217 228 231 252 266 279 308 341 342 372 396 399 418 434 462 532 558 589 627 651

Collatz Trajectory (88 steps to reach 1)

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

1,632,708 816,354 408,177 1,224,532 612,266 306,133 918,400 459,200 229,600 114,800 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732

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