8,440,661

643 × 13127

Starting at 8,440,661, the Collatz iteration reaches 1 after 168 steps. The first transition is 25321984; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 643 × 13127

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,454,432

Proper Divisor Sum 13,771

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8440639 ← → #8440667

Radix Representation

Decimal	8440661
Binary	100000001100101101010101 (24 bits)
Octal	0o40145525
Hexadecimal	0x80CB55

Divisor Catalog (4)

1 643 13,127 8,440,661

Collatz Trajectory (168 steps to reach 1)

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

8,440,661 25,321,984 12,660,992 6,330,496 3,165,248 1,582,624 791,312 395,656 197,828 98,914 49,457 148,372 74,186 37,093 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

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