8,008,521

3 × 2669507

For 8,008,521, the 4 positive divisors have a total of 10,678,032. Removing 8,008,521 leaves 2,669,511, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2669507

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,678,032

Proper Divisor Sum 2,669,511

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8008453 ← → #8008523

Radix Representation

Decimal	8008521
Binary	11110100011001101001001 (23 bits)
Octal	0o36431511
Hexadecimal	0x7A3349

Divisor Catalog (4)

1 3 2,669,507 8,008,521

Collatz Trajectory (168 steps to reach 1)

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

8,008,521 24,025,564 12,012,782 6,006,391 18,019,174 9,009,587 27,028,762 13,514,381 40,543,144 20,271,572 10,135,786 5,067,893 15,203,680 7,601,840 3,800,920 1,900,460 950,230 475,115 1,425,346 712,673 2,138,020 1,069,010 534,505 1,603,516 801,758 400,879 1,202,638 601,319 1,803,958 901,979 2,705,938 1,352,969 4,058,908 2,029,454 1,014,727 3,044,182 1,522,091 4,566,274 2,283,137 6,849,412 3,424,706 1,712,353 5,137,060 2,568,530 1,284,265 3,852,796 1,926,398 963,199 2,889,598 1,444,799 4,334,398 2,167,199 6,501,598 3,250,799 9,752,398 4,876,199 14,628,598 7,314,299 21,942,898 10,971,449

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