3,762,136

2³ × 7 × 67181

Starting at 3,762,136, the Collatz iteration reaches 1 after 185 steps. The first transition is 1881068; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 67181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,061,840

Proper Divisor Sum 4,299,704

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3762131 ← → #3762137

Radix Representation

Decimal	3762136
Binary	1110010110011111011000 (22 bits)
Octal	0o16263730
Hexadecimal	0x3967D8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 67,181 134,362 268,724 470,267 537,448 940,534 1,881,068 3,762,136

Collatz Trajectory (185 steps to reach 1)

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

3,762,136 1,881,068 940,534 470,267 1,410,802 705,401 2,116,204 1,058,102 529,051 1,587,154 793,577 2,380,732 1,190,366 595,183 1,785,550 892,775 2,678,326 1,339,163 4,017,490 2,008,745 6,026,236 3,013,118 1,506,559 4,519,678 2,259,839 6,779,518 3,389,759 10,169,278 5,084,639 15,253,918 7,626,959 22,880,878 11,440,439 34,321,318 17,160,659 51,481,978 25,740,989 77,222,968 38,611,484 19,305,742 9,652,871 28,958,614 14,479,307 43,437,922 21,718,961 65,156,884 32,578,442 16,289,221 48,867,664 24,433,832 12,216,916 6,108,458 3,054,229 9,162,688 4,581,344 2,290,672 1,145,336 572,668 286,334 143,167

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