6,131,394

2 × 3² × 340633

6,131,394 factors as 2 × 3^2 × 340633. Its 12 positive divisors give a proper-divisor sum of 7,153,332, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 340633

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,284,726

Proper Divisor Sum 7,153,332

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6131393 ← → #6131399

Radix Representation

Decimal	6131394
Binary	10111011000111011000010 (23 bits)
Octal	0o27307302
Hexadecimal	0x5D8EC2

Divisor Catalog (12)

1 2 3 6 9 18 340,633 681,266 1,021,899 2,043,798 3,065,697 6,131,394

Collatz Trajectory (227 steps to reach 1)

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

6,131,394 3,065,697 9,197,092 4,598,546 2,299,273 6,897,820 3,448,910 1,724,455 5,173,366 2,586,683 7,760,050 3,880,025 11,640,076 5,820,038 2,910,019 8,730,058 4,365,029 13,095,088 6,547,544 3,273,772 1,636,886 818,443 2,455,330 1,227,665 3,682,996 1,841,498 920,749 2,762,248 1,381,124 690,562 345,281 1,035,844 517,922 258,961 776,884 388,442 194,221 582,664 291,332 145,666 72,833 218,500 109,250 54,625 163,876 81,938 40,969 122,908 61,454 30,727 92,182 46,091 138,274 69,137 207,412 103,706 51,853 155,560 77,780 38,890

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