8,642,263

7 × 67 × 18427

For 8,642,263, the 8 positive divisors have a total of 10,024,832. Removing 8,642,263 leaves 1,382,569, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 67 × 18427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,024,832

Proper Divisor Sum 1,382,569

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8642237 ← → #8642281

Radix Representation

Decimal	8642263
Binary	100000111101111011010111 (24 bits)
Octal	0o40757327
Hexadecimal	0x83DED7

Divisor Catalog (8)

1 7 67 469 18,427 128,989 1,234,609 8,642,263

Collatz Trajectory (93 steps to reach 1)

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

8,642,263 25,926,790 12,963,395 38,890,186 19,445,093 58,335,280 29,167,640 14,583,820 7,291,910 3,645,955 10,937,866 5,468,933 16,406,800 8,203,400 4,101,700 2,050,850 1,025,425 3,076,276 1,538,138 769,069 2,307,208 1,153,604 576,802 288,401 865,204 432,602 216,301 648,904 324,452 162,226 81,113 243,340 121,670 60,835 182,506 91,253 273,760 136,880 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523

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