5,009,212

2² × 13 × 96331

For 5,009,212, the 12 positive divisors have a total of 9,440,536. Removing 5,009,212 leaves 4,431,324, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 96331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,440,536

Proper Divisor Sum 4,431,324

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5009167 ← → #5009233

Radix Representation

Decimal	5009212
Binary	10011000110111100111100 (23 bits)
Octal	0o23067474
Hexadecimal	0x4C6F3C

Divisor Catalog (12)

1 2 4 13 26 52 96,331 192,662 385,324 1,252,303 2,504,606 5,009,212

Collatz Trajectory (281 steps to reach 1)

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

5,009,212 2,504,606 1,252,303 3,756,910 1,878,455 5,635,366 2,817,683 8,453,050 4,226,525 12,679,576 6,339,788 3,169,894 1,584,947 4,754,842 2,377,421 7,132,264 3,566,132 1,783,066 891,533 2,674,600 1,337,300 668,650 334,325 1,002,976 501,488 250,744 125,372 62,686 31,343 94,030 47,015 141,046 70,523 211,570 105,785 317,356 158,678 79,339 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800

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