6,208,092

2² × 3² × 11 × 61 × 257

6,208,092 factors as 2^2 × 3^2 × 11 × 61 × 257. Its 72 positive divisors give a proper-divisor sum of 11,259,540, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 61 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 17,467,632

Proper Divisor Sum 11,259,540

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6208087 ← → #6208093

Radix Representation

Decimal	6208092
Binary	10111101011101001011100 (23 bits)
Octal	0o27535134
Hexadecimal	0x5EBA5C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 257 366 396 514 549 671 732 771 1,028 1,098 1,342 1,542 2,013 2,196 2,313 2,684 2,827 3,084 4,026 4,626 5,654 6,039 8,052 8,481 9,252 11,308 12,078 15,677 16,962 24,156 25,443 31,354 33,924 47,031 50,886 62,708 94,062 101,772 141,093

Collatz Trajectory (77 steps to reach 1)

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

6,208,092 3,104,046 1,552,023 4,656,070 2,328,035 6,984,106 3,492,053 10,476,160 5,238,080 2,619,040 1,309,520 654,760 327,380 163,690 81,845 245,536 122,768 61,384 30,692 15,346 7,673 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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