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Atlas › Integer Profiles › Node 5,092,016

5,092,016

24 × 23 × 101 × 137
Abundant Even Composite

5,092,016 factors as 2^4 × 23 × 101 × 137. Its 40 positive divisors give a proper-divisor sum of 5,380,528, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 101 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,472,544
Proper Divisor Sum 5,380,528
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5092007 ← → #5092069

Radix Representation

Decimal 5092016
Binary 10011011011001010110000 (23 bits)
Octal 0o23331260
Hexadecimal 0x4DB2B0

Divisor Catalog (40)

1 2 4 8 16 23 46 92 101 137 184 202 274 368 404 548 808 1,096 1,616 2,192 2,323 3,151 4,646 6,302 9,292 12,604 13,837 18,584 25,208 27,674 37,168 50,416 55,348 110,696 221,392 318,251 636,502 1,273,004 2,546,008 5,092,016

Collatz Trajectory (82 steps to reach 1)

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

5,092,016 2,546,008 1,273,004 636,502 318,251 954,754 477,377 1,432,132 716,066 358,033 1,074,100 537,050 268,525 805,576 402,788 201,394 100,697 302,092 151,046 75,523 226,570 113,285 339,856 169,928 84,964 42,482 21,241 63,724 31,862 15,931 47,794 23,897 71,692 35,846 17,923 53,770 26,885 80,656 40,328 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25

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