5,009,875

5³ × 13 × 3083

For 5,009,875, the 16 positive divisors have a total of 6,735,456. Removing 5,009,875 leaves 1,725,581, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 13 × 3083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,735,456

Proper Divisor Sum 1,725,581

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5009857 ← → #5009881

Radix Representation

Decimal	5009875
Binary	10011000111000111010011 (23 bits)
Octal	0o23070723
Hexadecimal	0x4C71D3

Divisor Catalog (16)

1 5 13 25 65 125 325 1,625 3,083 15,415 40,079 77,075 200,395 385,375 1,001,975 5,009,875

Collatz Trajectory (87 steps to reach 1)

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

5,009,875 15,029,626 7,514,813 22,544,440 11,272,220 5,636,110 2,818,055 8,454,166 4,227,083 12,681,250 6,340,625 19,021,876 9,510,938 4,755,469 14,266,408 7,133,204 3,566,602 1,783,301 5,349,904 2,674,952 1,337,476 668,738 334,369 1,003,108 501,554 250,777 752,332 376,166 188,083 564,250 282,125 846,376 423,188 211,594 105,797 317,392 158,696 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883

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