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4,647,136

25 × 13 × 11171
Abundant Even Composite

4,647,136 factors as 2^5 × 13 × 11171. Its 24 positive divisors give a proper-divisor sum of 5,206,568, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 11171
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,853,704
Proper Divisor Sum 5,206,568
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4647133 ← → #4647157

Radix Representation

Decimal 4647136
Binary 10001101110100011100000 (23 bits)
Octal 0o21564340
Hexadecimal 0x46E8E0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 11,171 22,342 44,684 89,368 145,223 178,736 290,446 357,472 580,892 1,161,784 2,323,568 4,647,136

Collatz Trajectory (162 steps to reach 1)

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

4,647,136 2,323,568 1,161,784 580,892 290,446 145,223 435,670 217,835 653,506 326,753 980,260 490,130 245,065 735,196 367,598 183,799 551,398 275,699 827,098 413,549 1,240,648 620,324 310,162 155,081 465,244 232,622 116,311 348,934 174,467 523,402 261,701 785,104 392,552 196,276 98,138 49,069 147,208 73,604 36,802 18,401 55,204 27,602 13,801 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479

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