8,641,224

2³ × 3² × 120017

Starting at 8,641,224, the Collatz iteration reaches 1 after 119 steps. The first transition is 4320612; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 120017

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,403,510

Proper Divisor Sum 14,762,286

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8641211 ← → #8641231

Radix Representation

Decimal	8641224
Binary	100000111101101011001000 (24 bits)
Octal	0o40755310
Hexadecimal	0x83DAC8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 120,017 240,034 360,051 480,068 720,102 960,136 1,080,153 1,440,204 2,160,306 2,880,408 4,320,612 8,641,224

Collatz Trajectory (119 steps to reach 1)

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

8,641,224 4,320,612 2,160,306 1,080,153 3,240,460 1,620,230 810,115 2,430,346 1,215,173 3,645,520 1,822,760 911,380 455,690 227,845 683,536 341,768 170,884 85,442 42,721 128,164 64,082 32,041 96,124 48,062 24,031 72,094 36,047 108,142 54,071 162,214 81,107 243,322 121,661 364,984 182,492 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812

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