8,142,999

3 × 149 × 18217

For 8,142,999, the 8 positive divisors have a total of 10,930,800. Removing 8,142,999 leaves 2,787,801, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 149 × 18217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,930,800

Proper Divisor Sum 2,787,801

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8142971 ← → #8143007

Radix Representation

Decimal	8142999
Binary	11111000100000010010111 (23 bits)
Octal	0o37040227
Hexadecimal	0x7C4097

Divisor Catalog (8)

1 3 149 447 18,217 54,651 2,714,333 8,142,999

Collatz Trajectory (137 steps to reach 1)

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

8,142,999 24,428,998 12,214,499 36,643,498 18,321,749 54,965,248 27,482,624 13,741,312 6,870,656 3,435,328 1,717,664 858,832 429,416 214,708 107,354 53,677 161,032 80,516 40,258 20,129 60,388 30,194 15,097 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668

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