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Atlas › Integer Profiles › Node 5,072,298

5,072,298

2 × 3 × 7 × 11 × 10979
Abundant Even Composite

5,072,298 factors as 2 × 3 × 7 × 11 × 10979. Its 32 positive divisors give a proper-divisor sum of 7,576,662, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 10979
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,648,960
Proper Divisor Sum 7,576,662
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5072269 ← → #5072299

Radix Representation

Decimal 5072298
Binary 10011010110010110101010 (23 bits)
Octal 0o23262652
Hexadecimal 0x4D65AA

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 10,979 21,958 32,937 65,874 76,853 120,769 153,706 230,559 241,538 362,307 461,118 724,614 845,383 1,690,766 2,536,149 5,072,298

Collatz Trajectory (157 steps to reach 1)

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

5,072,298 2,536,149 7,608,448 3,804,224 1,902,112 951,056 475,528 237,764 118,882 59,441 178,324 89,162 44,581 133,744 66,872 33,436 16,718 8,359 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380

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