9,992,640

2⁶ × 3 × 5 × 7 × 1487

9,992,640 has digital root 3. The neighboring primes are 9992639 and 9992663; its proper-divisor sum differs from the starting integer by 16,298,112.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 1487

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 36,283,392

Proper Divisor Sum 26,290,752

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9992639 ← → #9992663

Radix Representation

Decimal	9992640
Binary	100110000111100111000000 (24 bits)
Octal	0o46074700
Hexadecimal	0x9879C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1,120 1,344 1,487 1,680 2,240 2,974 3,360 4,461 5,948 6,720

Collatz Trajectory (114 steps to reach 1)

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

9,992,640 4,996,320 2,498,160 1,249,080 624,540 312,270 156,135 468,406 234,203 702,610 351,305 1,053,916 526,958 263,479 790,438 395,219 1,185,658 592,829 1,778,488 889,244 444,622 222,311 666,934 333,467 1,000,402 500,201 1,500,604 750,302 375,151 1,125,454 562,727 1,688,182 844,091 2,532,274 1,266,137 3,798,412 1,899,206 949,603 2,848,810 1,424,405 4,273,216 2,136,608 1,068,304 534,152 267,076 133,538 66,769 200,308 100,154 50,077 150,232 75,116 37,558 18,779 56,338 28,169 84,508 42,254 21,127 63,382

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