6,561,072

2⁴ × 3² × 7 × 23 × 283

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 23 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 21,974,784

Proper Divisor Sum 15,413,712

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6561019 ← → #6561073

Radix Representation

Decimal	6561072
Binary	11001000001110100110000 (23 bits)
Octal	0o31016460
Hexadecimal	0x641D30

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 283 322 336 368 414 483 504 552 566 644 828 849 966 1,008 1,104 1,132 1,288 1,449 1,656 1,698 1,932 1,981 2,264 2,547

Collatz Trajectory (178 steps to reach 1)

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

6,561,072 3,280,536 1,640,268 820,134 410,067 1,230,202 615,101 1,845,304 922,652 461,326 230,663 691,990 345,995 1,037,986 518,993 1,556,980 778,490 389,245 1,167,736 583,868 291,934 145,967 437,902 218,951 656,854 328,427 985,282 492,641 1,477,924 738,962 369,481 1,108,444 554,222 277,111 831,334 415,667 1,247,002 623,501 1,870,504 935,252 467,626 233,813 701,440 350,720 175,360 87,680 43,840 21,920 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193

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