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Atlas › Integer Profiles › Node 9,218,924

9,218,924

22 × 11 × 13 × 71 × 227
Abundant Even Composite

9,218,924 factors as 2^2 × 11 × 13 × 71 × 227. Its 48 positive divisors give a proper-divisor sum of 10,086,292, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 71 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,305,216
Proper Divisor Sum 10,086,292
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9218917 ← → #9218953

Radix Representation

Decimal 9218924
Binary 100011001010101101101100 (24 bits)
Octal 0o43125554
Hexadecimal 0x8CAB6C

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 71 142 143 227 284 286 454 572 781 908 923 1,562 1,846 2,497 2,951 3,124 3,692 4,994 5,902 9,988 10,153 11,804 16,117 20,306 32,234 32,461 40,612 64,468 64,922 129,844 177,287 209,521 354,574 419,042 709,148 838,084 2,304,731 4,609,462 9,218,924

Collatz Trajectory (225 steps to reach 1)

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

9,218,924 4,609,462 2,304,731 6,914,194 3,457,097 10,371,292 5,185,646 2,592,823 7,778,470 3,889,235 11,667,706 5,833,853 17,501,560 8,750,780 4,375,390 2,187,695 6,563,086 3,281,543 9,844,630 4,922,315 14,766,946 7,383,473 22,150,420 11,075,210 5,537,605 16,612,816 8,306,408 4,153,204 2,076,602 1,038,301 3,114,904 1,557,452 778,726 389,363 1,168,090 584,045 1,752,136 876,068 438,034 219,017 657,052 328,526 164,263 492,790 246,395 739,186 369,593 1,108,780 554,390 277,195 831,586 415,793 1,247,380 623,690 311,845 935,536 467,768 233,884 116,942 58,471

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