8,412,446

2 × 7 × 600889

For 8,412,446, the 8 positive divisors have a total of 14,421,360. Removing 8,412,446 leaves 6,008,914, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 600889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,421,360

Proper Divisor Sum 6,008,914

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8412409 ← → #8412451

Radix Representation

Decimal	8412446
Binary	100000000101110100011110 (24 bits)
Octal	0o40056436
Hexadecimal	0x805D1E

Divisor Catalog (8)

1 2 7 14 600,889 1,201,778 4,206,223 8,412,446

Collatz Trajectory (243 steps to reach 1)

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

8,412,446 4,206,223 12,618,670 6,309,335 18,928,006 9,464,003 28,392,010 14,196,005 42,588,016 21,294,008 10,647,004 5,323,502 2,661,751 7,985,254 3,992,627 11,977,882 5,988,941 17,966,824 8,983,412 4,491,706 2,245,853 6,737,560 3,368,780 1,684,390 842,195 2,526,586 1,263,293 3,789,880 1,894,940 947,470 473,735 1,421,206 710,603 2,131,810 1,065,905 3,197,716 1,598,858 799,429 2,398,288 1,199,144 599,572 299,786 149,893 449,680 224,840 112,420 56,210 28,105 84,316 42,158 21,079 63,238 31,619 94,858 47,429 142,288 71,144 35,572 17,786 8,893

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