9,992,052

2² × 3³ × 7 × 13217

9,992,052 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 7 × 13217 and its 48 divisors sum to 29,608,320.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 13217

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 29,608,320

Proper Divisor Sum 19,616,268

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9992033 ← → #9992053

Radix Representation

Decimal	9992052
Binary	100110000111011101110100 (24 bits)
Octal	0o46073564
Hexadecimal	0x987774

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 13,217 26,434 39,651 52,868 79,302 92,519 118,953 158,604 185,038 237,906 277,557 356,859 370,076 475,812 555,114 713,718 832,671 1,110,228 1,427,436 1,665,342 2,498,013 3,330,684 4,996,026 9,992,052

Collatz Trajectory (163 steps to reach 1)

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

9,992,052 4,996,026 2,498,013 7,494,040 3,747,020 1,873,510 936,755 2,810,266 1,405,133 4,215,400 2,107,700 1,053,850 526,925 1,580,776 790,388 395,194 197,597 592,792 296,396 148,198 74,099 222,298 111,149 333,448 166,724 83,362 41,681 125,044 62,522 31,261 93,784 46,892 23,446 11,723 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570

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