λ
Math Directory

3,848,022

2 × 32 × 313 × 683
Abundant Even Composite

3,848,022 factors as 2 × 3^2 × 313 × 683. Its 24 positive divisors give a proper-divisor sum of 4,528,242, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 313 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,376,264
Proper Divisor Sum 4,528,242
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3848021 ← → #3848029

Radix Representation

Decimal 3848022
Binary 1110101011011101010110 (22 bits)
Octal 0o16533526
Hexadecimal 0x3AB756

Divisor Catalog (24)

1 2 3 6 9 18 313 626 683 939 1,366 1,878 2,049 2,817 4,098 5,634 6,147 12,294 213,779 427,558 641,337 1,282,674 1,924,011 3,848,022

Collatz Trajectory (185 steps to reach 1)

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

3,848,022 1,924,011 5,772,034 2,886,017 8,658,052 4,329,026 2,164,513 6,493,540 3,246,770 1,623,385 4,870,156 2,435,078 1,217,539 3,652,618 1,826,309 5,478,928 2,739,464 1,369,732 684,866 342,433 1,027,300 513,650 256,825 770,476 385,238 192,619 577,858 288,929 866,788 433,394 216,697 650,092 325,046 162,523 487,570 243,785 731,356 365,678 182,839 548,518 274,259 822,778 411,389 1,234,168 617,084 308,542 154,271 462,814 231,407 694,222 347,111 1,041,334 520,667 1,562,002 781,001 2,343,004 1,171,502 585,751 1,757,254 878,627

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