8,448,512

2⁹ × 29 × 569

Starting at 8,448,512, the Collatz iteration reaches 1 after 49 steps. The first transition is 4224256; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 29 × 569

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,493,300

Proper Divisor Sum 9,044,788

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8448493 ← → #8448527

Radix Representation

Decimal	8448512
Binary	100000001110101000000000 (24 bits)
Octal	0o40165000
Hexadecimal	0x80EA00

Divisor Catalog (40)

1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 569 928 1,138 1,856 2,276 3,712 4,552 7,424 9,104 14,848 16,501 18,208 33,002 36,416 66,004 72,832 132,008 145,664 264,016 291,328 528,032 1,056,064 2,112,128 4,224,256 8,448,512

Collatz Trajectory (49 steps to reach 1)

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

8,448,512 4,224,256 2,112,128 1,056,064 528,032 264,016 132,008 66,004 33,002 16,501 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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