9,653,016

2³ × 3 × 127 × 3167

Starting at 9,653,016, the Collatz iteration reaches 1 after 70 steps. The first transition is 4826508; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 127 × 3167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 24,330,240

Proper Divisor Sum 14,677,224

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9653003 ← → #9653071

Radix Representation

Decimal	9653016
Binary	100100110100101100011000 (24 bits)
Octal	0o44645430
Hexadecimal	0x934B18

Divisor Catalog (32)

1 2 3 4 6 8 12 24 127 254 381 508 762 1,016 1,524 3,048 3,167 6,334 9,501 12,668 19,002 25,336 38,004 76,008 402,209 804,418 1,206,627 1,608,836 2,413,254 3,217,672 4,826,508 9,653,016

Collatz Trajectory (70 steps to reach 1)

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

9,653,016 4,826,508 2,413,254 1,206,627 3,619,882 1,809,941 5,429,824 2,714,912 1,357,456 678,728 339,364 169,682 84,841 254,524 127,262 63,631 190,894 95,447 286,342 143,171 429,514 214,757 644,272 322,136 161,068 80,534 40,267 120,802 60,401 181,204 90,602 45,301 135,904 67,952 33,976 16,988 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52

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