8,627,652

2² × 3² × 11 × 21787

Starting at 8,627,652, the Collatz iteration reaches 1 after 137 steps. The first transition is 4313826; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 21787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 23,792,496

Proper Divisor Sum 15,164,844

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8627639 ← → #8627681

Radix Representation

Decimal	8627652
Binary	100000111010010111000100 (24 bits)
Octal	0o40722704
Hexadecimal	0x83A5C4

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 21,787 43,574 65,361 87,148 130,722 196,083 239,657 261,444 392,166 479,314 718,971 784,332 958,628 1,437,942 2,156,913 2,875,884 4,313,826 8,627,652

Collatz Trajectory (137 steps to reach 1)

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

8,627,652 4,313,826 2,156,913 6,470,740 3,235,370 1,617,685 4,853,056 2,426,528 1,213,264 606,632 303,316 151,658 75,829 227,488 113,744 56,872 28,436 14,218 7,109 21,328 10,664 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 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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