8,652,200

2³ × 5² × 43261

Starting at 8,652,200, the Collatz iteration reaches 1 after 137 steps. The first transition is 4326100; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 43261

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,116,830

Proper Divisor Sum 11,464,630

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8652187 ← → #8652211

Radix Representation

Decimal	8652200
Binary	100001000000010110101000 (24 bits)
Octal	0o41002650
Hexadecimal	0x8405A8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 43,261 86,522 173,044 216,305 346,088 432,610 865,220 1,081,525 1,730,440 2,163,050 4,326,100 8,652,200

Collatz Trajectory (137 steps to reach 1)

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

8,652,200 4,326,100 2,163,050 1,081,525 3,244,576 1,622,288 811,144 405,572 202,786 101,393 304,180 152,090 76,045 228,136 114,068 57,034 28,517 85,552 42,776 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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