λ
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Atlas › Integer Profiles › Node 8,686,296

8,686,296

23 × 32 × 223 × 541
Abundant Even Composite

8,686,296 factors as 2^3 × 3^2 × 223 × 541. Its 48 positive divisors give a proper-divisor sum of 14,988,264, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 223 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,674,560
Proper Divisor Sum 14,988,264
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8686291 ← → #8686297

Radix Representation

Decimal 8686296
Binary 100001001000101011011000 (24 bits)
Octal 0o41105330
Hexadecimal 0x848AD8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 223 446 541 669 892 1,082 1,338 1,623 1,784 2,007 2,164 2,676 3,246 4,014 4,328 4,869 5,352 6,492 8,028 9,738 12,984 16,056 19,476 38,952 120,643 241,286 361,929 482,572 723,858 965,144 1,085,787 1,447,716 2,171,574 2,895,432 4,343,148 8,686,296

Collatz Trajectory (106 steps to reach 1)

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

8,686,296 4,343,148 2,171,574 1,085,787 3,257,362 1,628,681 4,886,044 2,443,022 1,221,511 3,664,534 1,832,267 5,496,802 2,748,401 8,245,204 4,122,602 2,061,301 6,183,904 3,091,952 1,545,976 772,988 386,494 193,247 579,742 289,871 869,614 434,807 1,304,422 652,211 1,956,634 978,317 2,934,952 1,467,476 733,738 366,869 1,100,608 550,304 275,152 137,576 68,788 34,394 17,197 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532

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