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Atlas › Integer Profiles › Node 5,114,448

5,114,448

24 × 33 × 11839
Abundant Even Composite

5,114,448 factors as 2^4 × 3^3 × 11839. Its 40 positive divisors give a proper-divisor sum of 9,567,152, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 11839
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,681,600
Proper Divisor Sum 9,567,152
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5114443 ← → #5114449

Radix Representation

Decimal 5114448
Binary 10011100000101001010000 (23 bits)
Octal 0o23405120
Hexadecimal 0x4E0A50

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11,839 23,678 35,517 47,356 71,034 94,712 106,551 142,068 189,424 213,102 284,136 319,653 426,204 568,272 639,306 852,408 1,278,612 1,704,816 2,557,224 5,114,448

Collatz Trajectory (175 steps to reach 1)

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

5,114,448 2,557,224 1,278,612 639,306 319,653 958,960 479,480 239,740 119,870 59,935 179,806 89,903 269,710 134,855 404,566 202,283 606,850 303,425 910,276 455,138 227,569 682,708 341,354 170,677 512,032 256,016 128,008 64,004 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452

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