9,627,024

2⁴ × 3 × 11 × 18233

Starting at 9,627,024, the Collatz iteration reaches 1 after 145 steps. The first transition is 4813512; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 18233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 27,132,192

Proper Divisor Sum 17,505,168

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9627011 ← → #9627031

Radix Representation

Decimal	9627024
Binary	100100101110010110010000 (24 bits)
Octal	0o44562620
Hexadecimal	0x92E590

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 18,233 36,466 54,699 72,932 109,398 145,864 200,563 218,796 291,728 401,126 437,592 601,689 802,252 875,184 1,203,378 1,604,504 2,406,756 3,209,008 4,813,512 9,627,024

Collatz Trajectory (145 steps to reach 1)

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

9,627,024 4,813,512 2,406,756 1,203,378 601,689 1,805,068 902,534 451,267 1,353,802 676,901 2,030,704 1,015,352 507,676 253,838 126,919 380,758 190,379 571,138 285,569 856,708 428,354 214,177 642,532 321,266 160,633 481,900 240,950 120,475 361,426 180,713 542,140 271,070 135,535 406,606 203,303 609,910 304,955 914,866 457,433 1,372,300 686,150 343,075 1,029,226 514,613 1,543,840 771,920 385,960 192,980 96,490 48,245 144,736 72,368 36,184 18,092 9,046 4,523 13,570 6,785 20,356 10,178

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