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Atlas › Integer Profiles › Node 11,675,280

11,675,280

24 × 3 × 5 × 48647
Abundant Even Composite

11,675,280 factors as 2^4 × 3 × 5 × 48647. Its 40 positive divisors give a proper-divisor sum of 24,518,832, so this integer is abundant. The Collatz stopping time is 321 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 48647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 36,194,112
Proper Divisor Sum 24,518,832
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11675267 ← → #11675281

Radix Representation

Decimal 11675280
Binary 101100100010011010010000 (24 bits)
Octal 0o54423220
Hexadecimal 0xB22690

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 48,647 97,294 145,941 194,588 243,235 291,882 389,176 486,470 583,764 729,705 778,352 972,940 1,167,528 1,459,410 1,945,880 2,335,056 2,918,820 3,891,760 5,837,640 11,675,280

Collatz Trajectory (321 steps to reach 1)

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

11,675,280 5,837,640 2,918,820 1,459,410 729,705 2,189,116 1,094,558 547,279 1,641,838 820,919 2,462,758 1,231,379 3,694,138 1,847,069 5,541,208 2,770,604 1,385,302 692,651 2,077,954 1,038,977 3,116,932 1,558,466 779,233 2,337,700 1,168,850 584,425 1,753,276 876,638 438,319 1,314,958 657,479 1,972,438 986,219 2,958,658 1,479,329 4,437,988 2,218,994 1,109,497 3,328,492 1,664,246 832,123 2,496,370 1,248,185 3,744,556 1,872,278 936,139 2,808,418 1,404,209 4,212,628 2,106,314 1,053,157 3,159,472 1,579,736 789,868 394,934 197,467 592,402 296,201 888,604 444,302

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