6,137,082

2 × 3² × 7 × 53 × 919

6,137,082 factors as 2 × 3^2 × 7 × 53 × 919. Its 48 positive divisors give a proper-divisor sum of 9,363,078, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 53 × 919

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,500,160

Proper Divisor Sum 9,363,078

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6137081 ← → #6137123

Radix Representation

Decimal	6137082
Binary	10111011010010011111010 (23 bits)
Octal	0o27322372
Hexadecimal	0x5DA4FA

Divisor Catalog (48)

Collatz Trajectory (196 steps to reach 1)

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

6,137,082 3,068,541 9,205,624 4,602,812 2,301,406 1,150,703 3,452,110 1,726,055 5,178,166 2,589,083 7,767,250 3,883,625 11,650,876 5,825,438 2,912,719 8,738,158 4,369,079 13,107,238 6,553,619 19,660,858 9,830,429 29,491,288 14,745,644 7,372,822 3,686,411 11,059,234 5,529,617 16,588,852 8,294,426 4,147,213 12,441,640 6,220,820 3,110,410 1,555,205 4,665,616 2,332,808 1,166,404 583,202 291,601 874,804 437,402 218,701 656,104 328,052 164,026 82,013 246,040 123,020 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488

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