6,842,367

3³ × 7 × 41 × 883

6,842,367 has the prime decomposition 3^3 × 7 × 41 × 883. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 7 × 41 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,880,960

Proper Divisor Sum 5,038,593

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6842359 ← → #6842369

Radix Representation

Decimal	6842367
Binary	11010000110011111111111 (23 bits)
Octal	0o32063777
Hexadecimal	0x6867FF

Divisor Catalog (32)

1 3 7 9 21 27 41 63 123 189 287 369 861 883 1,107 2,583 2,649 6,181 7,749 7,947 18,543 23,841 36,203 55,629 108,609 166,887 253,421 325,827 760,263 977,481 2,280,789 6,842,367

Collatz Trajectory (129 steps to reach 1)

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

6,842,367 20,527,102 10,263,551 30,790,654 15,395,327 46,185,982 23,092,991 69,278,974 34,639,487 103,918,462 51,959,231 155,877,694 77,938,847 233,816,542 116,908,271 350,724,814 175,362,407 526,087,222 263,043,611 789,130,834 394,565,417 1,183,696,252 591,848,126 295,924,063 887,772,190 443,886,095 1,331,658,286 665,829,143 1,997,487,430 998,743,715 2,996,231,146 1,498,115,573 4,494,346,720 2,247,173,360 1,123,586,680 561,793,340 280,896,670 140,448,335 421,345,006 210,672,503 632,017,510 316,008,755 948,026,266 474,013,133 1,422,039,400 711,019,700 355,509,850 177,754,925 533,264,776 266,632,388 133,316,194 66,658,097 199,974,292 99,987,146 49,993,573 149,980,720 74,990,360 37,495,180 18,747,590 9,373,795

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