7,272,006

2 × 3 × 7 × 41² × 103

7,272,006 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 41^2 × 103 and its 48 divisors sum to 17,202,432.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41^2 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,202,432

Proper Divisor Sum 9,930,426

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7271989 ← → #7272007

Radix Representation

Decimal	7272006
Binary	11011101111011001000110 (23 bits)
Octal	0o33573106
Hexadecimal	0x6EF646

Divisor Catalog (48)

1 2 3 6 7 14 21 41 42 82 103 123 206 246 287 309 574 618 721 861 1,442 1,681 1,722 2,163 3,362 4,223 4,326 5,043 8,446 10,086 11,767 12,669 23,534 25,338 29,561 35,301 59,122 70,602 88,683 173,143 177,366 346,286 519,429 1,038,858 1,212,001 2,424,002 3,636,003 7,272,006

Collatz Trajectory (111 steps to reach 1)

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

7,272,006 3,636,003 10,908,010 5,454,005 16,362,016 8,181,008 4,090,504 2,045,252 1,022,626 511,313 1,533,940 766,970 383,485 1,150,456 575,228 287,614 143,807 431,422 215,711 647,134 323,567 970,702 485,351 1,456,054 728,027 2,184,082 1,092,041 3,276,124 1,638,062 819,031 2,457,094 1,228,547 3,685,642 1,842,821 5,528,464 2,764,232 1,382,116 691,058 345,529 1,036,588 518,294 259,147 777,442 388,721 1,166,164 583,082 291,541 874,624 437,312 218,656 109,328 54,664 27,332 13,666 6,833 20,500 10,250 5,125 15,376 7,688

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