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Atlas › Integer Profiles › Node 9,854,946

9,854,946

2 × 34 × 127 × 479
Abundant Even Composite

9,854,946 factors as 2 × 3^4 × 127 × 479. Its 40 positive divisors give a proper-divisor sum of 12,447,774, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 127 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,302,720
Proper Divisor Sum 12,447,774
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9854941 ← → #9854969

Radix Representation

Decimal 9854946
Binary 100101100101111111100010 (24 bits)
Octal 0o45457742
Hexadecimal 0x965FE2

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 127 162 254 381 479 762 958 1,143 1,437 2,286 2,874 3,429 4,311 6,858 8,622 10,287 12,933 20,574 25,866 38,799 60,833 77,598 121,666 182,499 364,998 547,497 1,094,994 1,642,491 3,284,982 4,927,473 9,854,946

Collatz Trajectory (194 steps to reach 1)

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

9,854,946 4,927,473 14,782,420 7,391,210 3,695,605 11,086,816 5,543,408 2,771,704 1,385,852 692,926 346,463 1,039,390 519,695 1,559,086 779,543 2,338,630 1,169,315 3,507,946 1,753,973 5,261,920 2,630,960 1,315,480 657,740 328,870 164,435 493,306 246,653 739,960 369,980 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173 936,520 468,260 234,130 117,065 351,196 175,598 87,799 263,398 131,699 395,098 197,549 592,648 296,324 148,162 74,081 222,244 111,122 55,561 166,684 83,342 41,671 125,014 62,507

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