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Atlas › Integer Profiles › Node 11,329,520

11,329,520

24 × 5 × 141619
Abundant Even Composite

11,329,520 factors as 2^4 × 5 × 141619. Its 20 positive divisors give a proper-divisor sum of 15,011,800, so this integer is abundant. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 141619
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 26,341,320
Proper Divisor Sum 15,011,800
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #11329519 ← → #11329553

Radix Representation

Decimal 11329520
Binary 101011001101111111110000 (24 bits)
Octal 0o53157760
Hexadecimal 0xACDFF0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 141,619 283,238 566,476 708,095 1,132,952 1,416,190 2,265,904 2,832,380 5,664,760 11,329,520

Collatz Trajectory (277 steps to reach 1)

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

11,329,520 5,664,760 2,832,380 1,416,190 708,095 2,124,286 1,062,143 3,186,430 1,593,215 4,779,646 2,389,823 7,169,470 3,584,735 10,754,206 5,377,103 16,131,310 8,065,655 24,196,966 12,098,483 36,295,450 18,147,725 54,443,176 27,221,588 13,610,794 6,805,397 20,416,192 10,208,096 5,104,048 2,552,024 1,276,012 638,006 319,003 957,010 478,505 1,435,516 717,758 358,879 1,076,638 538,319 1,614,958 807,479 2,422,438 1,211,219 3,633,658 1,816,829 5,450,488 2,725,244 1,362,622 681,311 2,043,934 1,021,967 3,065,902 1,532,951 4,598,854 2,299,427 6,898,282 3,449,141 10,347,424 5,173,712 2,586,856

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