8,007,466

2 × 37 × 241 × 449

For 8,007,466, the 16 positive divisors have a total of 12,414,600. Removing 8,007,466 leaves 4,407,134, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 37 × 241 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,414,600

Proper Divisor Sum 4,407,134

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8007463 ← → #8007487

Radix Representation

Decimal	8007466
Binary	11110100010111100101010 (23 bits)
Octal	0o36427452
Hexadecimal	0x7A2F2A

Divisor Catalog (16)

1 2 37 74 241 449 482 898 8,917 16,613 17,834 33,226 108,209 216,418 4,003,733 8,007,466

Collatz Trajectory (93 steps to reach 1)

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

8,007,466 4,003,733 12,011,200 6,005,600 3,002,800 1,501,400 750,700 375,350 187,675 563,026 281,513 844,540 422,270 211,135 633,406 316,703 950,110 475,055 1,425,166 712,583 2,137,750 1,068,875 3,206,626 1,603,313 4,809,940 2,404,970 1,202,485 3,607,456 1,803,728 901,864 450,932 225,466 112,733 338,200 169,100 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468

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