9,988,272

2⁴ × 3⁵ × 7 × 367

9,988,272 has the prime decomposition 2^4 × 3^5 × 7 × 367. Its 4 distinct prime factors produce 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^5 × 7 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 33,220,096

Proper Divisor Sum 23,231,824

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9988271 ← → #9988283

Radix Representation

Decimal	9988272
Binary	100110000110100010110000 (24 bits)
Octal	0o46064260
Hexadecimal	0x9868B0

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 367 378 432 486 504 567 648 734 756 972 1,008 1,101 1,134 1,296 1,468 1,512 1,701 1,944 2,202 2,268 2,569 2,936 3,024

Collatz Trajectory (132 steps to reach 1)

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

9,988,272 4,994,136 2,497,068 1,248,534 624,267 1,872,802 936,401 2,809,204 1,404,602 702,301 2,106,904 1,053,452 526,726 263,363 790,090 395,045 1,185,136 592,568 296,284 148,142 74,071 222,214 111,107 333,322 166,661 499,984 249,992 124,996 62,498 31,249 93,748 46,874 23,437 70,312 35,156 17,578 8,789 26,368 13,184 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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