3,706,726

2 × 23 × 61 × 1321

Starting at 3,706,726, the Collatz iteration reaches 1 after 53 steps. The first transition is 1853363; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 61 × 1321

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,901,408

Proper Divisor Sum 2,194,682

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3706723 ← → #3706733

Radix Representation

Decimal	3706726
Binary	1110001000111101100110 (22 bits)
Octal	0o16107546
Hexadecimal	0x388F66

Divisor Catalog (16)

1 2 23 46 61 122 1,321 1,403 2,642 2,806 30,383 60,766 80,581 161,162 1,853,363 3,706,726

Collatz Trajectory (53 steps to reach 1)

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

3,706,726 1,853,363 5,560,090 2,780,045 8,340,136 4,170,068 2,085,034 1,042,517 3,127,552 1,563,776 781,888 390,944 195,472 97,736 48,868 24,434 12,217 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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