9,048,800

2⁵ × 5² × 11311

Starting at 9,048,800, the Collatz iteration reaches 1 after 106 steps. The first transition is 4524400; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 11311

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 22,092,336

Proper Divisor Sum 13,043,536

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9048797 ← → #9048803

Radix Representation

Decimal	9048800
Binary	100010100001001011100000 (24 bits)
Octal	0o42411340
Hexadecimal	0x8A12E0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 11,311 22,622 45,244 56,555 90,488 113,110 180,976 226,220 282,775 361,952 452,440 565,550 904,880 1,131,100 1,809,760 2,262,200 4,524,400 9,048,800

Collatz Trajectory (106 steps to reach 1)

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

9,048,800 4,524,400 2,262,200 1,131,100 565,550 282,775 848,326 424,163 1,272,490 636,245 1,908,736 954,368 477,184 238,592 119,296 59,648 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

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