8,802,002

2 × 11 × 347 × 1153

8,802,002 factors as 2 × 11 × 347 × 1153. Its 16 positive divisors give a proper-divisor sum of 5,655,310, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 11 × 347 × 1153

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,457,312

Proper Divisor Sum 5,655,310

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #8801999 ← → #8802007

Radix Representation

Decimal	8802002
Binary	100001100100111011010010 (24 bits)
Octal	0o41447322
Hexadecimal	0x864ED2

Divisor Catalog (16)

1 2 11 22 347 694 1,153 2,306 3,817 7,634 12,683 25,366 400,091 800,182 4,401,001 8,802,002

Collatz Trajectory (88 steps to reach 1)

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

8,802,002 4,401,001 13,203,004 6,601,502 3,300,751 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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