8,000,342

2 × 7 × 571453

For 8,000,342, the 8 positive divisors have a total of 13,714,896. Removing 8,000,342 leaves 5,714,554, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 571453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,714,896

Proper Divisor Sum 5,714,554

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #8000339 ← → #8000357

Radix Representation

Decimal	8000342
Binary	11110100001001101010110 (23 bits)
Octal	0o36411526
Hexadecimal	0x7A1356

Divisor Catalog (8)

1 2 7 14 571,453 1,142,906 4,000,171 8,000,342

Collatz Trajectory (116 steps to reach 1)

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

8,000,342 4,000,171 12,000,514 6,000,257 18,000,772 9,000,386 4,500,193 13,500,580 6,750,290 3,375,145 10,125,436 5,062,718 2,531,359 7,594,078 3,797,039 11,391,118 5,695,559 17,086,678 8,543,339 25,630,018 12,815,009 38,445,028 19,222,514 9,611,257 28,833,772 14,416,886 7,208,443 21,625,330 10,812,665 32,437,996 16,218,998 8,109,499 24,328,498 12,164,249 36,492,748 18,246,374 9,123,187 27,369,562 13,684,781 41,054,344 20,527,172 10,263,586 5,131,793 15,395,380 7,697,690 3,848,845 11,546,536 5,773,268 2,886,634 1,443,317 4,329,952 2,164,976 1,082,488 541,244 270,622 135,311 405,934 202,967 608,902 304,451

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