3,762,681

3 × 13 × 96479

Starting at 3,762,681, the Collatz iteration reaches 1 after 154 steps. The first transition is 11288044; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 96479

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,402,880

Proper Divisor Sum 1,640,199

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3762673 ← → #3762683

Radix Representation

Decimal	3762681
Binary	1110010110100111111001 (22 bits)
Octal	0o16264771
Hexadecimal	0x3969F9

Divisor Catalog (8)

1 3 13 39 96,479 289,437 1,254,227 3,762,681

Collatz Trajectory (154 steps to reach 1)

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

3,762,681 11,288,044 5,644,022 2,822,011 8,466,034 4,233,017 12,699,052 6,349,526 3,174,763 9,524,290 4,762,145 14,286,436 7,143,218 3,571,609 10,714,828 5,357,414 2,678,707 8,036,122 4,018,061 12,054,184 6,027,092 3,013,546 1,506,773 4,520,320 2,260,160 1,130,080 565,040 282,520 141,260 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979

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