λ
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9,744,196

22 × 7 × 11 × 17 × 1861
Abundant Even Composite

9,744,196 factors as 2^2 × 7 × 11 × 17 × 1861. Its 48 positive divisors give a proper-divisor sum of 12,778,556, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 17 × 1861
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,522,752
Proper Divisor Sum 12,778,556
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9744193 ← → #9744197

Radix Representation

Decimal 9744196
Binary 100101001010111101000100 (24 bits)
Octal 0o45127504
Hexadecimal 0x94AF44

Divisor Catalog (48)

1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1,309 1,861 2,618 3,722 5,236 7,444 13,027 20,471 26,054 31,637 40,942 52,108 63,274 81,884 126,548 143,297 221,459 286,594 348,007 442,918 573,188 696,014 885,836 1,392,028 2,436,049 4,872,098 9,744,196

Collatz Trajectory (194 steps to reach 1)

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

9,744,196 4,872,098 2,436,049 7,308,148 3,654,074 1,827,037 5,481,112 2,740,556 1,370,278 685,139 2,055,418 1,027,709 3,083,128 1,541,564 770,782 385,391 1,156,174 578,087 1,734,262 867,131 2,601,394 1,300,697 3,902,092 1,951,046 975,523 2,926,570 1,463,285 4,389,856 2,194,928 1,097,464 548,732 274,366 137,183 411,550 205,775 617,326 308,663 925,990 462,995 1,388,986 694,493 2,083,480 1,041,740 520,870 260,435 781,306 390,653 1,171,960 585,980 292,990 146,495 439,486 219,743 659,230 329,615 988,846 494,423 1,483,270 741,635 2,224,906

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