9,168,096

2⁵ × 3 × 7² × 1949

For 9,168,096, the 72 positive divisors have a total of 28,009,800. Removing 9,168,096 leaves 18,841,704, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 7^2 × 1949

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 28,009,800

Proper Divisor Sum 18,841,704

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9168091 ← → #9168109

Radix Representation

Decimal	9168096
Binary	100010111110010011100000 (24 bits)
Octal	0o42762340
Hexadecimal	0x8BE4E0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1,176 1,568 1,949 2,352 3,898 4,704 5,847 7,796 11,694 13,643 15,592 23,388 27,286 31,184 40,929 46,776 54,572 62,368 81,858 93,552 95,501 109,144 163,716 187,104 191,002 218,288 286,503 327,432

Collatz Trajectory (225 steps to reach 1)

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

9,168,096 4,584,048 2,292,024 1,146,012 573,006 286,503 859,510 429,755 1,289,266 644,633 1,933,900 966,950 483,475 1,450,426 725,213 2,175,640 1,087,820 543,910 271,955 815,866 407,933 1,223,800 611,900 305,950 152,975 458,926 229,463 688,390 344,195 1,032,586 516,293 1,548,880 774,440 387,220 193,610 96,805 290,416 145,208 72,604 36,302 18,151 54,454 27,227 81,682 40,841 122,524 61,262 30,631 91,894 45,947 137,842 68,921 206,764 103,382 51,691 155,074 77,537 232,612 116,306 58,153

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