8,001,292

2² × 13 × 153871

8,001,292 is even and not a perfect square. Its factorization is 2^2 × 13 × 153871 and its 12 divisors sum to 15,079,456.

Prime Factor Structure

Factorization String 2^2 × 13 × 153871

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,079,456

Proper Divisor Sum 7,078,164

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8001289 ← → #8001293

Radix Representation

Decimal	8001292
Binary	11110100001011100001100 (23 bits)
Octal	0o36413414
Hexadecimal	0x7A170C

Divisor Catalog (12)

1 2 4 13 26 52 153,871 307,742 615,484 2,000,323 4,000,646 8,001,292

Collatz Trajectory (261 steps to reach 1)

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

8,001,292 4,000,646 2,000,323 6,000,970 3,000,485 9,001,456 4,500,728 2,250,364 1,125,182 562,591 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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