8,802,003

3 × 7 × 41 × 10223

8,802,003 factors as 3 × 7 × 41 × 10223. Its 16 positive divisors give a proper-divisor sum of 4,939,053, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 10223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,741,056

Proper Divisor Sum 4,939,053

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8801999 ← → #8802007

Radix Representation

Decimal	8802003
Binary	100001100100111011010011 (24 bits)
Octal	0o41447323
Hexadecimal	0x864ED3

Divisor Catalog (16)

1 3 7 21 41 123 287 861 10,223 30,669 71,561 214,683 419,143 1,257,429 2,934,001 8,802,003

Collatz Trajectory (88 steps to reach 1)

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

8,802,003 26,406,010 13,203,005 39,609,016 19,804,508 9,902,254 4,951,127 14,853,382 7,426,691 22,280,074 11,140,037 33,420,112 16,710,056 8,355,028 4,177,514 2,088,757 6,266,272 3,133,136 1,566,568 783,284 391,642 195,821 587,464 293,732 146,866 73,433 220,300 110,150 55,075 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260

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