8,001,297

3² × 673 × 1321

8,001,297 is odd and not a perfect square. Its factorization is 3^2 × 673 × 1321 and its 12 divisors sum to 11,583,364.

Prime Factor Structure

Factorization String 3^2 × 673 × 1321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,583,364

Proper Divisor Sum 3,582,067

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8001293 ← → #8001307

Radix Representation

Decimal	8001297
Binary	11110100001011100010001 (23 bits)
Octal	0o36413421
Hexadecimal	0x7A1711

Divisor Catalog (12)

1 3 9 673 1,321 2,019 3,963 6,057 11,889 889,033 2,667,099 8,001,297

Collatz Trajectory (261 steps to reach 1)

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

8,001,297 24,003,892 12,001,946 6,000,973 18,002,920 9,001,460 4,500,730 2,250,365 6,751,096 3,375,548 1,687,774 843,887 2,531,662 1,265,831 3,797,494 1,898,747 5,696,242 2,848,121 8,544,364 4,272,182 2,136,091 6,408,274 3,204,137 9,612,412 4,806,206 2,403,103 7,209,310 3,604,655 10,813,966 5,406,983 16,220,950 8,110,475 24,331,426 12,165,713 36,497,140 18,248,570 9,124,285 27,372,856 13,686,428 6,843,214 3,421,607 10,264,822 5,132,411 15,397,234 7,698,617 23,095,852 11,547,926 5,773,963 17,321,890 8,660,945 25,982,836 12,991,418 6,495,709 19,487,128 9,743,564 4,871,782 2,435,891 7,307,674 3,653,837 10,961,512

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