λ
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9,891,508

22 × 112 × 107 × 191
Deficient Even Composite

9,891,508 factors as 2^2 × 11^2 × 107 × 191. Its 36 positive divisors give a proper-divisor sum of 9,413,708, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 107 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,305,216
Proper Divisor Sum 9,413,708
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9891491 ← → #9891517

Radix Representation

Decimal 9891508
Binary 100101101110111010110100 (24 bits)
Octal 0o45567264
Hexadecimal 0x96EEB4

Divisor Catalog (36)

1 2 4 11 22 44 107 121 191 214 242 382 428 484 764 1,177 2,101 2,354 4,202 4,708 8,404 12,947 20,437 23,111 25,894 40,874 46,222 51,788 81,748 92,444 224,807 449,614 899,228 2,472,877 4,945,754 9,891,508

Collatz Trajectory (145 steps to reach 1)

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

9,891,508 4,945,754 2,472,877 7,418,632 3,709,316 1,854,658 927,329 2,781,988 1,390,994 695,497 2,086,492 1,043,246 521,623 1,564,870 782,435 2,347,306 1,173,653 3,520,960 1,760,480 880,240 440,120 220,060 110,030 55,015 165,046 82,523 247,570 123,785 371,356 185,678 92,839 278,518 139,259 417,778 208,889 626,668 313,334 156,667 470,002 235,001 705,004 352,502 176,251 528,754 264,377 793,132 396,566 198,283 594,850 297,425 892,276 446,138 223,069 669,208 334,604 167,302 83,651 250,954 125,477 376,432

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