8,442,938

2 × 7 × 67 × 9001

For 8,442,938, the 16 positive divisors have a total of 14,691,264. Removing 8,442,938 leaves 6,248,326, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 67 × 9001

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,691,264

Proper Divisor Sum 6,248,326

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8442937 ← → #8442947

Radix Representation

Decimal	8442938
Binary	100000001101010000111010 (24 bits)
Octal	0o40152072
Hexadecimal	0x80D43A

Divisor Catalog (16)

1 2 7 14 67 134 469 938 9,001 18,002 63,007 126,014 603,067 1,206,134 4,221,469 8,442,938

Collatz Trajectory (75 steps to reach 1)

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

8,442,938 4,221,469 12,664,408 6,332,204 3,166,102 1,583,051 4,749,154 2,374,577 7,123,732 3,561,866 1,780,933 5,342,800 2,671,400 1,335,700 667,850 333,925 1,001,776 500,888 250,444 125,222 62,611 187,834 93,917 281,752 140,876 70,438 35,219 105,658 52,829 158,488 79,244 39,622 19,811 59,434 29,717 89,152 44,576 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7

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