2,566,384

2⁴ × 29 × 5531

2,566,384 factors as 2^4 × 29 × 5531. Its 20 positive divisors give a proper-divisor sum of 2,578,376, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 5531

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,144,760

Proper Divisor Sum 2,578,376

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2566367 ← → #2566411

Radix Representation

Decimal	2566384
Binary	1001110010100011110000 (22 bits)
Octal	0o11624360
Hexadecimal	0x2728F0

Divisor Catalog (20)

Collatz Trajectory (130 steps to reach 1)

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

2,566,384 1,283,192 641,596 320,798 160,399 481,198 240,599 721,798 360,899 1,082,698 541,349 1,624,048 812,024 406,012 203,006 101,503 304,510 152,255 456,766 228,383 685,150 342,575 1,027,726 513,863 1,541,590 770,795 2,312,386 1,156,193 3,468,580 1,734,290 867,145 2,601,436 1,300,718 650,359 1,951,078 975,539 2,926,618 1,463,309 4,389,928 2,194,964 1,097,482 548,741 1,646,224 823,112 411,556 205,778 102,889 308,668 154,334 77,167 231,502 115,751 347,254 173,627 520,882 260,441 781,324 390,662 195,331 585,994

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