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6,208,048

24 × 7 × 11 × 5039
Abundant Even Composite

6,208,048 factors as 2^4 × 7 × 11 × 5039. Its 40 positive divisors give a proper-divisor sum of 8,790,992, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 5039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,999,040
Proper Divisor Sum 8,790,992
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6208021 ← → #6208067

Radix Representation

Decimal 6208048
Binary 10111101011101000110000 (23 bits)
Octal 0o27535060
Hexadecimal 0x5EBA30

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 5,039 10,078 20,156 35,273 40,312 55,429 70,546 80,624 110,858 141,092 221,716 282,184 388,003 443,432 564,368 776,006 886,864 1,552,012 3,104,024 6,208,048

Collatz Trajectory (77 steps to reach 1)

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

6,208,048 3,104,024 1,552,012 776,006 388,003 1,164,010 582,005 1,746,016 873,008 436,504 218,252 109,126 54,563 163,690 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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