3,505,737

3 × 257 × 4547

Starting at 3,505,737, the Collatz iteration reaches 1 after 177 steps. The first transition is 10517212; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 257 × 4547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,693,536

Proper Divisor Sum 1,187,799

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3505727 ← → #3505751

Radix Representation

Decimal	3505737
Binary	1101010111111001001001 (22 bits)
Octal	0o15277111
Hexadecimal	0x357E49

Divisor Catalog (8)

1 3 257 771 4,547 13,641 1,168,579 3,505,737

Collatz Trajectory (177 steps to reach 1)

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

3,505,737 10,517,212 5,258,606 2,629,303 7,887,910 3,943,955 11,831,866 5,915,933 17,747,800 8,873,900 4,436,950 2,218,475 6,655,426 3,327,713 9,983,140 4,991,570 2,495,785 7,487,356 3,743,678 1,871,839 5,615,518 2,807,759 8,423,278 4,211,639 12,634,918 6,317,459 18,952,378 9,476,189 28,428,568 14,214,284 7,107,142 3,553,571 10,660,714 5,330,357 15,991,072 7,995,536 3,997,768 1,998,884 999,442 499,721 1,499,164 749,582 374,791 1,124,374 562,187 1,686,562 843,281 2,529,844 1,264,922 632,461 1,897,384 948,692 474,346 237,173 711,520 355,760 177,880 88,940 44,470 22,235

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