8,012,090

2 × 5 × 47 × 17047

8,012,090 factors as 2 × 5 × 47 × 17047. Its 16 positive divisors give a proper-divisor sum of 6,717,382, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 17047

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,729,472

Proper Divisor Sum 6,717,382

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #8012087 ← → #8012107

Radix Representation

Decimal	8012090
Binary	11110100100000100111010 (23 bits)
Octal	0o36440472
Hexadecimal	0x7A413A

Divisor Catalog (16)

1 2 5 10 47 94 235 470 17,047 34,094 85,235 170,470 801,209 1,602,418 4,006,045 8,012,090

Collatz Trajectory (142 steps to reach 1)

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

8,012,090 4,006,045 12,018,136 6,009,068 3,004,534 1,502,267 4,506,802 2,253,401 6,760,204 3,380,102 1,690,051 5,070,154 2,535,077 7,605,232 3,802,616 1,901,308 950,654 475,327 1,425,982 712,991 2,138,974 1,069,487 3,208,462 1,604,231 4,812,694 2,406,347 7,219,042 3,609,521 10,828,564 5,414,282 2,707,141 8,121,424 4,060,712 2,030,356 1,015,178 507,589 1,522,768 761,384 380,692 190,346 95,173 285,520 142,760 71,380 35,690 17,845 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476

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