10,243,728

2⁴ × 3² × 11 × 29 × 223

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 29 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 32,497,920

Proper Divisor Sum 22,254,192

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10243703 ← → #10243729

Radix Representation

Decimal	10243728
Binary	100111000100111010010000 (24 bits)
Octal	0o47047220
Hexadecimal	0x9C4E90

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 223 232 261 264 319 348 396 446 464 522 528 638 669 696 792 892 957 1,044 1,276 1,338 1,392 1,584 1,784 1,914 2,007 2,088 2,453 2,552 2,676 2,871

Collatz Trajectory (114 steps to reach 1)

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

10,243,728 5,121,864 2,560,932 1,280,466 640,233 1,920,700 960,350 480,175 1,440,526 720,263 2,160,790 1,080,395 3,241,186 1,620,593 4,861,780 2,430,890 1,215,445 3,646,336 1,823,168 911,584 455,792 227,896 113,948 56,974 28,487 85,462 42,731 128,194 64,097 192,292 96,146 48,073 144,220 72,110 36,055 108,166 54,083 162,250 81,125 243,376 121,688 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805

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