λ
Sigma Notebook

8,010,272

25 × 193 × 1297
Deficient Even Composite

8,010,272 is even and not a perfect square. Its factorization is 2^5 × 193 × 1297 and its 24 divisors sum to 15,864,156.

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Prime Factor Structure

Factorization String 2^5 × 193 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,864,156
Proper Divisor Sum 7,853,884
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8010263 ← → #8010313

Radix Representation

Decimal 8010272
Binary 11110100011101000100000 (23 bits)
Octal 0o36435040
Hexadecimal 0x7A3A20

Divisor Catalog (5 of 24)

1 2 4 8 16

Collatz Trajectory (155 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

8,010,272 4,005,136 2,002,568 1,001,284 500,642

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