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Atlas › Integer Profiles › Node 5,201,112

5,201,112

23 × 3 × 7 × 83 × 373
Abundant Even Composite

5,201,112 factors as 2^3 × 3 × 7 × 83 × 373. Its 64 positive divisors give a proper-divisor sum of 9,878,568, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 83 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,079,680
Proper Divisor Sum 9,878,568
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #5201111 ← → #5201113

Radix Representation

Decimal 5201112
Binary 10011110101110011011000 (23 bits)
Octal 0o23656330
Hexadecimal 0x4F5CD8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 373 498 581 664 746 996 1,119 1,162 1,492 1,743 1,992 2,238 2,324 2,611 2,984 3,486 4,476 4,648 5,222 6,972 7,833 8,952 10,444 13,944 15,666 20,888 30,959 31,332 61,918 62,664 92,877 123,836 185,754 216,713 247,672 371,508 433,426 650,139 743,016 866,852

Collatz Trajectory (232 steps to reach 1)

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

5,201,112 2,600,556 1,300,278 650,139 1,950,418 975,209 2,925,628 1,462,814 731,407 2,194,222 1,097,111 3,291,334 1,645,667 4,937,002 2,468,501 7,405,504 3,702,752 1,851,376 925,688 462,844 231,422 115,711 347,134 173,567 520,702 260,351 781,054 390,527 1,171,582 585,791 1,757,374 878,687 2,636,062 1,318,031 3,954,094 1,977,047 5,931,142 2,965,571 8,896,714 4,448,357 13,345,072 6,672,536 3,336,268 1,668,134 834,067 2,502,202 1,251,101 3,753,304 1,876,652 938,326 469,163 1,407,490 703,745 2,111,236 1,055,618 527,809 1,583,428 791,714 395,857 1,187,572

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