7,643,292

2² × 3 × 71 × 8971

7,643,292 factors as 2^2 × 3 × 71 × 8971. Its 24 positive divisors give a proper-divisor sum of 10,444,260, so this integer is abundant. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 8971

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,087,552

Proper Divisor Sum 10,444,260

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7643287 ← → #7643297

Radix Representation

Decimal	7643292
Binary	11101001010000010011100 (23 bits)
Octal	0o35120234
Hexadecimal	0x74A09C

Divisor Catalog (24)

Collatz Trajectory (261 steps to reach 1)

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

7,643,292 3,821,646 1,910,823 5,732,470 2,866,235 8,598,706 4,299,353 12,898,060 6,449,030 3,224,515 9,673,546 4,836,773 14,510,320 7,255,160 3,627,580 1,813,790 906,895 2,720,686 1,360,343 4,081,030 2,040,515 6,121,546 3,060,773 9,182,320 4,591,160 2,295,580 1,147,790 573,895 1,721,686 860,843 2,582,530 1,291,265 3,873,796 1,936,898 968,449 2,905,348 1,452,674 726,337 2,179,012 1,089,506 544,753 1,634,260 817,130 408,565 1,225,696 612,848 306,424 153,212 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870

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