7,362,504

2³ × 3² × 293 × 349

7,362,504 factors as 2^3 × 3^2 × 293 × 349. Its 48 positive divisors give a proper-divisor sum of 12,702,996, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 293 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,065,500

Proper Divisor Sum 12,702,996

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7362499 ← → #7362541

Radix Representation

Decimal	7362504
Binary	11100000101011111001000 (23 bits)
Octal	0o34053710
Hexadecimal	0x7057C8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 293 349 586 698 879 1,047 1,172 1,396 1,758 2,094 2,344 2,637 2,792 3,141 3,516 4,188 5,274 6,282 7,032 8,376 10,548 12,564 21,096 25,128 102,257 204,514 306,771 409,028 613,542 818,056 920,313 1,227,084 1,840,626 2,454,168 3,681,252 7,362,504

Collatz Trajectory (191 steps to reach 1)

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

7,362,504 3,681,252 1,840,626 920,313 2,760,940 1,380,470 690,235 2,070,706 1,035,353 3,106,060 1,553,030 776,515 2,329,546 1,164,773 3,494,320 1,747,160 873,580 436,790 218,395 655,186 327,593 982,780 491,390 245,695 737,086 368,543 1,105,630 552,815 1,658,446 829,223 2,487,670 1,243,835 3,731,506 1,865,753 5,597,260 2,798,630 1,399,315 4,197,946 2,098,973 6,296,920 3,148,460 1,574,230 787,115 2,361,346 1,180,673 3,542,020 1,771,010 885,505 2,656,516 1,328,258 664,129 1,992,388 996,194 498,097 1,494,292 747,146 373,573 1,120,720 560,360 280,180

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