10,085,584

2⁴ × 630349

10,085,584 factors as 2^4 × 630349. Its 10 positive divisors give a proper-divisor sum of 9,455,266, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^4 × 630349

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 19,540,850

Proper Divisor Sum 9,455,266

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #10085567 ← → #10085597

Radix Representation

Decimal	10085584
Binary	100110011110010011010000 (24 bits)
Octal	0o46362320
Hexadecimal	0x99E4D0

Divisor Catalog (10)

1 2 4 8 16 630,349 1,260,698 2,521,396 5,042,792 10,085,584

Collatz Trajectory (83 steps to reach 1)

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

10,085,584 5,042,792 2,521,396 1,260,698 630,349 1,891,048 945,524 472,762 236,381 709,144 354,572 177,286 88,643 265,930 132,965 398,896 199,448 99,724 49,862 24,931 74,794 37,397 112,192 56,096 28,048 14,024 7,012 3,506 1,753 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304

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