7,187,126

2 × 3593563

Starting at 7,187,126, the Collatz iteration reaches 1 after 297 steps. The first transition is 3593563; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3593563

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,780,692

Proper Divisor Sum 3,593,566

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7187119 ← → #7187129

Radix Representation

Decimal	7187126
Binary	11011011010101010110110 (23 bits)
Octal	0o33325266
Hexadecimal	0x6DAAB6

Divisor Catalog (4)

1 2 3,593,563 7,187,126

Collatz Trajectory (297 steps to reach 1)

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

7,187,126 3,593,563 10,780,690 5,390,345 16,171,036 8,085,518 4,042,759 12,128,278 6,064,139 18,192,418 9,096,209 27,288,628 13,644,314 6,822,157 20,466,472 10,233,236 5,116,618 2,558,309 7,674,928 3,837,464 1,918,732 959,366 479,683 1,439,050 719,525 2,158,576 1,079,288 539,644 269,822 134,911 404,734 202,367 607,102 303,551 910,654 455,327 1,365,982 682,991 2,048,974 1,024,487 3,073,462 1,536,731 4,610,194 2,305,097 6,915,292 3,457,646 1,728,823 5,186,470 2,593,235 7,779,706 3,889,853 11,669,560 5,834,780 2,917,390 1,458,695 4,376,086 2,188,043 6,564,130 3,282,065 9,846,196

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