9,728,244

2² × 3² × 270229

9,728,244 factors as 2^2 × 3^2 × 270229. Its 18 positive divisors give a proper-divisor sum of 14,862,686, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 270229

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 24,590,930

Proper Divisor Sum 14,862,686

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9728231 ← → #9728249

Radix Representation

Decimal	9728244
Binary	100101000111000011110100 (24 bits)
Octal	0o45070364
Hexadecimal	0x9470F4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 270,229 540,458 810,687 1,080,916 1,621,374 2,432,061 3,242,748 4,864,122 9,728,244

Collatz Trajectory (114 steps to reach 1)

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

9,728,244 4,864,122 2,432,061 7,296,184 3,648,092 1,824,046 912,023 2,736,070 1,368,035 4,104,106 2,052,053 6,156,160 3,078,080 1,539,040 769,520 384,760 192,380 96,190 48,095 144,286 72,143 216,430 108,215 324,646 162,323 486,970 243,485 730,456 365,228 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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