15,985,600

2⁶ × 5² × 97 × 103

15,985,600 factors as 2^6 × 5^2 × 97 × 103. Its 84 positive divisors give a proper-divisor sum of 24,140,304, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 97 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 40,125,904

Proper Divisor Sum 24,140,304

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #15985589 ← → #15985609

Radix Representation

Decimal	15985600
Binary	111100111110101111000000 (24 bits)
Octal	0o74765700
Hexadecimal	0xF3EBC0

Divisor Catalog (60 of 84)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 103 160 194 200 206 320 388 400 412 485 515 776 800 824 970 1,030 1,552 1,600 1,648 1,940 2,060 2,425 2,575 3,104 3,296 3,880 4,120 4,850 5,150 6,208 6,592 7,760 8,240 9,700 9,991 10,300 15,520 16,480 19,400 19,982 20,600 31,040 32,960 38,800

Collatz Trajectory (117 steps to reach 1)

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

15,985,600 7,992,800 3,996,400 1,998,200 999,100 499,550 249,775 749,326 374,663 1,123,990 561,995 1,685,986 842,993 2,528,980 1,264,490 632,245 1,896,736 948,368 474,184 237,092 118,546 59,273 177,820 88,910 44,455 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901

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