8,123,284

2² × 13 × 156217

For 8,123,284, the 12 positive divisors have a total of 15,309,364. Removing 8,123,284 leaves 7,186,080, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 156217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,309,364

Proper Divisor Sum 7,186,080

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8123273 ← → #8123287

Radix Representation

Decimal	8123284
Binary	11110111111001110010100 (23 bits)
Octal	0o36771624
Hexadecimal	0x7BF394

Divisor Catalog (12)

1 2 4 13 26 52 156,217 312,434 624,868 2,030,821 4,061,642 8,123,284

Collatz Trajectory (137 steps to reach 1)

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

8,123,284 4,061,642 2,030,821 6,092,464 3,046,232 1,523,116 761,558 380,779 1,142,338 571,169 1,713,508 856,754 428,377 1,285,132 642,566 321,283 963,850 481,925 1,445,776 722,888 361,444 180,722 90,361 271,084 135,542 67,771 203,314 101,657 304,972 152,486 76,243 228,730 114,365 343,096 171,548 85,774 42,887 128,662 64,331 192,994 96,497 289,492 144,746 72,373 217,120 108,560 54,280 27,140 13,570 6,785 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590

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