8,263,776

2⁵ × 3 × 59 × 1459

8,263,776 factors as 2^5 × 3 × 59 × 1459. Its 48 positive divisors give a proper-divisor sum of 13,811,424, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 59 × 1459

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,075,200

Proper Divisor Sum 13,811,424

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8263771 ← → #8263781

Radix Representation

Decimal	8263776
Binary	11111100001100001100000 (23 bits)
Octal	0o37414140
Hexadecimal	0x7E1860

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1,416 1,459 1,888 2,832 2,918 4,377 5,664 5,836 8,754 11,672 17,508 23,344 35,016 46,688 70,032 86,081 140,064 172,162 258,243 344,324 516,486 688,648 1,032,972 1,377,296 2,065,944 2,754,592 4,131,888 8,263,776

Collatz Trajectory (62 steps to reach 1)

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

8,263,776 4,131,888 2,065,944 1,032,972 516,486 258,243 774,730 387,365 1,162,096 581,048 290,524 145,262 72,631 217,894 108,947 326,842 163,421 490,264 245,132 122,566 61,283 183,850 91,925 275,776 137,888 68,944 34,472 17,236 8,618 4,309 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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