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Atlas › Integer Profiles › Node 5,334,472

5,334,472

23 × 11 × 13 × 4663
Abundant Even Composite

5,334,472 factors as 2^3 × 11 × 13 × 4663. Its 32 positive divisors give a proper-divisor sum of 6,418,808, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 4663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,753,280
Proper Divisor Sum 6,418,808
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5334467 ← → #5334499

Radix Representation

Decimal 5334472
Binary 10100010110010111001000 (23 bits)
Octal 0o24262710
Hexadecimal 0x5165C8

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 4,663 9,326 18,652 37,304 51,293 60,619 102,586 121,238 205,172 242,476 410,344 484,952 666,809 1,333,618 2,667,236 5,334,472

Collatz Trajectory (144 steps to reach 1)

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

5,334,472 2,667,236 1,333,618 666,809 2,000,428 1,000,214 500,107 1,500,322 750,161 2,250,484 1,125,242 562,621 1,687,864 843,932 421,966 210,983 632,950 316,475 949,426 474,713 1,424,140 712,070 356,035 1,068,106 534,053 1,602,160 801,080 400,540 200,270 100,135 300,406 150,203 450,610 225,305 675,916 337,958 168,979 506,938 253,469 760,408 380,204 190,102 95,051 285,154 142,577 427,732 213,866 106,933 320,800 160,400 80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838

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