12,007,587

3 × 23 × 101 × 1723

12,007,587 factors as 3 × 23 × 101 × 1723. Its 16 positive divisors give a proper-divisor sum of 4,873,821, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 23 × 101 × 1723

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,881,408

Proper Divisor Sum 4,873,821

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #12007579 ← → #12007603

Radix Representation

Decimal	12007587
Binary	101101110011100010100011 (24 bits)
Octal	0o55634243
Hexadecimal	0xB738A3

Divisor Catalog (16)

1 3 23 69 101 303 1,723 2,323 5,169 6,969 39,629 118,887 174,023 522,069 4,002,529 12,007,587

Collatz Trajectory (91 steps to reach 1)

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

12,007,587 36,022,762 18,011,381 54,034,144 27,017,072 13,508,536 6,754,268 3,377,134 1,688,567 5,065,702 2,532,851 7,598,554 3,799,277 11,397,832 5,698,916 2,849,458 1,424,729 4,274,188 2,137,094 1,068,547 3,205,642 1,602,821 4,808,464 2,404,232 1,202,116 601,058 300,529 901,588 450,794 225,397 676,192 338,096 169,048 84,524 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116

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