3,761,025

3 × 5² × 50147

Starting at 3,761,025, the Collatz iteration reaches 1 after 141 steps. The first transition is 11283076; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 50147

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,218,352

Proper Divisor Sum 2,457,327

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3761003 ← → #3761027

Radix Representation

Decimal	3761025
Binary	1110010110001110000001 (22 bits)
Octal	0o16261601
Hexadecimal	0x396381

Divisor Catalog (12)

1 3 5 15 25 75 50,147 150,441 250,735 752,205 1,253,675 3,761,025

Collatz Trajectory (141 steps to reach 1)

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

3,761,025 11,283,076 5,641,538 2,820,769 8,462,308 4,231,154 2,115,577 6,346,732 3,173,366 1,586,683 4,760,050 2,380,025 7,140,076 3,570,038 1,785,019 5,355,058 2,677,529 8,032,588 4,016,294 2,008,147 6,024,442 3,012,221 9,036,664 4,518,332 2,259,166 1,129,583 3,388,750 1,694,375 5,083,126 2,541,563 7,624,690 3,812,345 11,437,036 5,718,518 2,859,259 8,577,778 4,288,889 12,866,668 6,433,334 3,216,667 9,650,002 4,825,001 14,475,004 7,237,502 3,618,751 10,856,254 5,428,127 16,284,382 8,142,191 24,426,574 12,213,287 36,639,862 18,319,931 54,959,794 27,479,897 82,439,692 41,219,846 20,609,923 61,829,770 30,914,885

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