8,435,264

2⁶ × 17 × 7753

Starting at 8,435,264, the Collatz iteration reaches 1 after 124 steps. The first transition is 4217632; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 17 × 7753

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 17,725,644

Proper Divisor Sum 9,290,380

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8435261 ← → #8435269

Radix Representation

Decimal	8435264
Binary	100000001011011001000000 (24 bits)
Octal	0o40133100
Hexadecimal	0x80B640

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 7,753 15,506 31,012 62,024 124,048 131,801 248,096 263,602 496,192 527,204 1,054,408 2,108,816 4,217,632 8,435,264

Collatz Trajectory (124 steps to reach 1)

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

8,435,264 4,217,632 2,108,816 1,054,408 527,204 263,602 131,801 395,404 197,702 98,851 296,554 148,277 444,832 222,416 111,208 55,604 27,802 13,901 41,704 20,852 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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