3,705,426

2 × 3⁴ × 89 × 257

Starting at 3,705,426, the Collatz iteration reaches 1 after 141 steps. The first transition is 1852713; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 89 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,428,860

Proper Divisor Sum 4,723,434

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3705421 ← → #3705431

Radix Representation

Decimal	3705426
Binary	1110001000101001010010 (22 bits)
Octal	0o16105122
Hexadecimal	0x388A52

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 89 162 178 257 267 514 534 771 801 1,542 1,602 2,313 2,403 4,626 4,806 6,939 7,209 13,878 14,418 20,817 22,873 41,634 45,746 68,619 137,238 205,857 411,714 617,571 1,235,142 1,852,713 3,705,426

Collatz Trajectory (141 steps to reach 1)

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

3,705,426 1,852,713 5,558,140 2,779,070 1,389,535 4,168,606 2,084,303 6,252,910 3,126,455 9,379,366 4,689,683 14,069,050 7,034,525 21,103,576 10,551,788 5,275,894 2,637,947 7,913,842 3,956,921 11,870,764 5,935,382 2,967,691 8,903,074 4,451,537 13,354,612 6,677,306 3,338,653 10,015,960 5,007,980 2,503,990 1,251,995 3,755,986 1,877,993 5,633,980 2,816,990 1,408,495 4,225,486 2,112,743 6,338,230 3,169,115 9,507,346 4,753,673 14,261,020 7,130,510 3,565,255 10,695,766 5,347,883 16,043,650 8,021,825 24,065,476 12,032,738 6,016,369 18,049,108 9,024,554 4,512,277 13,536,832 6,768,416 3,384,208 1,692,104 846,052

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