3,502,035

3⁴ × 5 × 8647

Starting at 3,502,035, the Collatz iteration reaches 1 after 128 steps. The first transition is 10506106; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 8647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,278,448

Proper Divisor Sum 2,776,413

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3502021 ← → #3502043

Radix Representation

Decimal	3502035
Binary	1101010110111111010011 (22 bits)
Octal	0o15267723
Hexadecimal	0x356FD3

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 8,647 25,941 43,235 77,823 129,705 233,469 389,115 700,407 1,167,345 3,502,035

Collatz Trajectory (128 steps to reach 1)

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

3,502,035 10,506,106 5,253,053 15,759,160 7,879,580 3,939,790 1,969,895 5,909,686 2,954,843 8,864,530 4,432,265 13,296,796 6,648,398 3,324,199 9,972,598 4,986,299 14,958,898 7,479,449 22,438,348 11,219,174 5,609,587 16,828,762 8,414,381 25,243,144 12,621,572 6,310,786 3,155,393 9,466,180 4,733,090 2,366,545 7,099,636 3,549,818 1,774,909 5,324,728 2,662,364 1,331,182 665,591 1,996,774 998,387 2,995,162 1,497,581 4,492,744 2,246,372 1,123,186 561,593 1,684,780 842,390 421,195 1,263,586 631,793 1,895,380 947,690 473,845 1,421,536 710,768 355,384 177,692 88,846 44,423 133,270

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