10,384,732

2² × 67 × 38749

10,384,732 factors as 2^2 × 67 × 38749. Its 12 positive divisors give a proper-divisor sum of 8,060,268, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 38749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,445,000

Proper Divisor Sum 8,060,268

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #10384729 ← → #10384733

Radix Representation

Decimal	10384732
Binary	100111100111010101011100 (24 bits)
Octal	0o47472534
Hexadecimal	0x9E755C

Divisor Catalog (12)

1 2 4 67 134 268 38,749 77,498 154,996 2,596,183 5,192,366 10,384,732

Collatz Trajectory (96 steps to reach 1)

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

10,384,732 5,192,366 2,596,183 7,788,550 3,894,275 11,682,826 5,841,413 17,524,240 8,762,120 4,381,060 2,190,530 1,095,265 3,285,796 1,642,898 821,449 2,464,348 1,232,174 616,087 1,848,262 924,131 2,772,394 1,386,197 4,158,592 2,079,296 1,039,648 519,824 259,912 129,956 64,978 32,489 97,468 48,734 24,367 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305

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