9,678,625

5³ × 11 × 7039

For 9,678,625, the 16 positive divisors have a total of 13,178,880. Removing 9,678,625 leaves 3,500,255, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 11 × 7039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,178,880

Proper Divisor Sum 3,500,255

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9678623 ← → #9678629

Radix Representation

Decimal	9678625
Binary	100100111010111100100001 (24 bits)
Octal	0o44727441
Hexadecimal	0x93AF21

Divisor Catalog (16)

1 5 11 25 55 125 275 1,375 7,039 35,195 77,429 175,975 387,145 879,875 1,935,725 9,678,625

Collatz Trajectory (75 steps to reach 1)

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

9,678,625 29,035,876 14,517,938 7,258,969 21,776,908 10,888,454 5,444,227 16,332,682 8,166,341 24,499,024 12,249,512 6,124,756 3,062,378 1,531,189 4,593,568 2,296,784 1,148,392 574,196 287,098 143,549 430,648 215,324 107,662 53,831 161,494 80,747 242,242 121,121 363,364 181,682 90,841 272,524 136,262 68,131 204,394 102,197 306,592 153,296 76,648 38,324 19,162 9,581 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706

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