3,706,764

2² × 3 × 103 × 2999

Starting at 3,706,764, the Collatz iteration reaches 1 after 53 steps. The first transition is 1853382; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 103 × 2999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,736,000

Proper Divisor Sum 5,029,236

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3706753 ← → #3706777

Radix Representation

Decimal	3706764
Binary	1110001000111110001100 (22 bits)
Octal	0o16107614
Hexadecimal	0x388F8C

Divisor Catalog (24)

1 2 3 4 6 12 103 206 309 412 618 1,236 2,999 5,998 8,997 11,996 17,994 35,988 308,897 617,794 926,691 1,235,588 1,853,382 3,706,764

Collatz Trajectory (53 steps to reach 1)

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

3,706,764 1,853,382 926,691 2,780,074 1,390,037 4,170,112 2,085,056 1,042,528 521,264 260,632 130,316 65,158 32,579 97,738 48,869 146,608 73,304 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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