8,440,896

2⁶ × 3 × 43963

Starting at 8,440,896, the Collatz iteration reaches 1 after 168 steps. The first transition is 4220448; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 43963

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 22,333,712

Proper Divisor Sum 13,892,816

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8440889 ← → #8440907

Radix Representation

Decimal	8440896
Binary	100000001100110001000000 (24 bits)
Octal	0o40146100
Hexadecimal	0x80CC40

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 43,963 87,926 131,889 175,852 263,778 351,704 527,556 703,408 1,055,112 1,406,816 2,110,224 2,813,632 4,220,448 8,440,896

Collatz Trajectory (168 steps to reach 1)

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

8,440,896 4,220,448 2,110,224 1,055,112 527,556 263,778 131,889 395,668 197,834 98,917 296,752 148,376 74,188 37,094 18,547 55,642 27,821 83,464 41,732 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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