6,232,506

2 × 3 × 7² × 17 × 29 × 43

6,232,506 has the prime decomposition 2 × 3 × 7^2 × 17 × 29 × 43. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 17 × 29 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,251,840

Proper Divisor Sum 10,019,334

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6232493 ← → #6232531

Radix Representation

Decimal	6232506
Binary	10111110001100110111010 (23 bits)
Octal	0o27614672
Hexadecimal	0x5F19BA

Divisor Catalog (60 of 96)

1 2 3 6 7 14 17 21 29 34 42 43 49 51 58 86 87 98 102 119 129 147 174 203 238 258 294 301 357 406 493 602 609 714 731 833 903 986 1,218 1,247 1,421 1,462 1,479 1,666 1,806 2,107 2,193 2,494 2,499 2,842 2,958 3,451 3,741 4,214 4,263 4,386 4,998 5,117 6,321 6,902

Collatz Trajectory (165 steps to reach 1)

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

6,232,506 3,116,253 9,348,760 4,674,380 2,337,190 1,168,595 3,505,786 1,752,893 5,258,680 2,629,340 1,314,670 657,335 1,972,006 986,003 2,958,010 1,479,005 4,437,016 2,218,508 1,109,254 554,627 1,663,882 831,941 2,495,824 1,247,912 623,956 311,978 155,989 467,968 233,984 116,992 58,496 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31

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