3,762,109

13² × 113 × 197

Starting at 3,762,109, the Collatz iteration reaches 1 after 185 steps. The first transition is 11286328; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 113 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,130,676

Proper Divisor Sum 368,567

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3762103 ← → #3762131

Radix Representation

Decimal	3762109
Binary	1110010110011110111101 (22 bits)
Octal	0o16263675
Hexadecimal	0x3967BD

Divisor Catalog (12)

1 13 113 169 197 1,469 2,561 19,097 22,261 33,293 289,393 3,762,109

Collatz Trajectory (185 steps to reach 1)

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

3,762,109 11,286,328 5,643,164 2,821,582 1,410,791 4,232,374 2,116,187 6,348,562 3,174,281 9,522,844 4,761,422 2,380,711 7,142,134 3,571,067 10,713,202 5,356,601 16,069,804 8,034,902 4,017,451 12,052,354 6,026,177 18,078,532 9,039,266 4,519,633 13,558,900 6,779,450 3,389,725 10,169,176 5,084,588 2,542,294 1,271,147 3,813,442 1,906,721 5,720,164 2,860,082 1,430,041 4,290,124 2,145,062 1,072,531 3,217,594 1,608,797 4,826,392 2,413,196 1,206,598 603,299 1,809,898 904,949 2,714,848 1,357,424 678,712 339,356 169,678 84,839 254,518 127,259 381,778 190,889 572,668 286,334 143,167

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