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Atlas › Integer Profiles › Node 4,498,296

4,498,296

23 × 3 × 112 × 1549
Abundant Even Composite

4,498,296 factors as 2^3 × 3 × 11^2 × 1549. Its 48 positive divisors give a proper-divisor sum of 7,870,704, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11^2 × 1549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,369,000
Proper Divisor Sum 7,870,704
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4498283 ← → #4498297

Radix Representation

Decimal 4498296
Binary 10001001010001101111000 (23 bits)
Octal 0o21121570
Hexadecimal 0x44A378

Divisor Catalog (48)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1,452 1,549 2,904 3,098 4,647 6,196 9,294 12,392 17,039 18,588 34,078 37,176 51,117 68,156 102,234 136,312 187,429 204,468 374,858 408,936 562,287 749,716 1,124,574 1,499,432 2,249,148 4,498,296

Collatz Trajectory (110 steps to reach 1)

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

4,498,296 2,249,148 1,124,574 562,287 1,686,862 843,431 2,530,294 1,265,147 3,795,442 1,897,721 5,693,164 2,846,582 1,423,291 4,269,874 2,134,937 6,404,812 3,202,406 1,601,203 4,803,610 2,401,805 7,205,416 3,602,708 1,801,354 900,677 2,702,032 1,351,016 675,508 337,754 168,877 506,632 253,316 126,658 63,329 189,988 94,994 47,497 142,492 71,246 35,623 106,870 53,435 160,306 80,153 240,460 120,230 60,115 180,346 90,173 270,520 135,260 67,630 33,815 101,446 50,723 152,170 76,085 228,256 114,128 57,064 28,532

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