6,848,571

3 × 1097 × 2081

Starting at 6,848,571, the Collatz iteration reaches 1 after 222 steps. The first transition is 20545714; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 1097 × 2081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,144,144

Proper Divisor Sum 2,295,573

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6848563 ← → #6848581

Radix Representation

Decimal	6848571
Binary	11010001000000000111011 (23 bits)
Octal	0o32100073
Hexadecimal	0x68803B

Divisor Catalog (8)

1 3 1,097 2,081 3,291 6,243 2,282,857 6,848,571

Collatz Trajectory (222 steps to reach 1)

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

6,848,571 20,545,714 10,272,857 30,818,572 15,409,286 7,704,643 23,113,930 11,556,965 34,670,896 17,335,448 8,667,724 4,333,862 2,166,931 6,500,794 3,250,397 9,751,192 4,875,596 2,437,798 1,218,899 3,656,698 1,828,349 5,485,048 2,742,524 1,371,262 685,631 2,056,894 1,028,447 3,085,342 1,542,671 4,628,014 2,314,007 6,942,022 3,471,011 10,413,034 5,206,517 15,619,552 7,809,776 3,904,888 1,952,444 976,222 488,111 1,464,334 732,167 2,196,502 1,098,251 3,294,754 1,647,377 4,942,132 2,471,066 1,235,533 3,706,600 1,853,300 926,650 463,325 1,389,976 694,988 347,494 173,747 521,242 260,621

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