7,359,282

2 × 3³ × 7 × 19469

Starting at 7,359,282, the Collatz iteration reaches 1 after 160 steps. The first transition is 3679641; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 19469

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,691,200

Proper Divisor Sum 11,331,918

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7359277 ← → #7359323

Radix Representation

Decimal	7359282
Binary	11100000100101100110010 (23 bits)
Octal	0o34045462
Hexadecimal	0x704B32

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 19,469 38,938 58,407 116,814 136,283 175,221 272,566 350,442 408,849 525,663 817,698 1,051,326 1,226,547 2,453,094 3,679,641 7,359,282

Collatz Trajectory (160 steps to reach 1)

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

7,359,282 3,679,641 11,038,924 5,519,462 2,759,731 8,279,194 4,139,597 12,418,792 6,209,396 3,104,698 1,552,349 4,657,048 2,328,524 1,164,262 582,131 1,746,394 873,197 2,619,592 1,309,796 654,898 327,449 982,348 491,174 245,587 736,762 368,381 1,105,144 552,572 276,286 138,143 414,430 207,215 621,646 310,823 932,470 466,235 1,398,706 699,353 2,098,060 1,049,030 524,515 1,573,546 786,773 2,360,320 1,180,160 590,080 295,040 147,520 73,760 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297

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