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Atlas › Integer Profiles › Node 5,342,016

5,342,016

26 × 3 × 27823
Abundant Even Composite

5,342,016 factors as 2^6 × 3 × 27823. Its 28 positive divisors give a proper-divisor sum of 8,792,576, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 27823
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 14,134,592
Proper Divisor Sum 8,792,576
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5342011 ← → #5342017

Radix Representation

Decimal 5342016
Binary 10100011000001101000000 (23 bits)
Octal 0o24301500
Hexadecimal 0x518340

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 27,823 55,646 83,469 111,292 166,938 222,584 333,876 445,168 667,752 890,336 1,335,504 1,780,672 2,671,008 5,342,016

Collatz Trajectory (157 steps to reach 1)

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

5,342,016 2,671,008 1,335,504 667,752 333,876 166,938 83,469 250,408 125,204 62,602 31,301 93,904 46,952 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161

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