3,780,136

2³ × 131 × 3607

Starting at 3,780,136, the Collatz iteration reaches 1 after 79 steps. The first transition is 1890068; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 131 × 3607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,143,840

Proper Divisor Sum 3,363,704

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3780113 ← → #3780143

Radix Representation

Decimal	3780136
Binary	1110011010111000101000 (22 bits)
Octal	0o16327050
Hexadecimal	0x39AE28

Divisor Catalog (16)

1 2 4 8 131 262 524 1,048 3,607 7,214 14,428 28,856 472,517 945,034 1,890,068 3,780,136

Collatz Trajectory (79 steps to reach 1)

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

3,780,136 1,890,068 945,034 472,517 1,417,552 708,776 354,388 177,194 88,597 265,792 132,896 66,448 33,224 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

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