2,048,784

2⁴ × 3 × 42683

2,048,784 factors as 2^4 × 3 × 42683. Its 20 positive divisors give a proper-divisor sum of 3,244,032, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 42683

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,292,816

Proper Divisor Sum 3,244,032

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2048779 ← → #2048797

Radix Representation

Decimal	2048784
Binary	111110100001100010000 (21 bits)
Octal	0o7641420
Hexadecimal	0x1F4310

Divisor Catalog (20)

Collatz Trajectory (91 steps to reach 1)

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

2,048,784 1,024,392 512,196 256,098 128,049 384,148 192,074 96,037 288,112 144,056 72,028 36,014 18,007 54,022 27,011 81,034 40,517 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186

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