λ
Sigma Notebook

7,845,312

26 × 3 × 29 × 1409
Abundant Even Composite

7,845,312 is even and not a perfect square. Its factorization is 2^6 × 3 × 29 × 1409 and its 56 divisors sum to 21,488,400.

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Prime Factor Structure

Factorization String 2^6 × 3 × 29 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 21,488,400
Proper Divisor Sum 13,643,088
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7845301 ← → #7845317

Radix Representation

Decimal 7845312
Binary 11101111011010111000000 (23 bits)
Octal 0o35732700
Hexadecimal 0x77B5C0

Divisor Catalog (5 of 56)

1 2 3 4 6

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.

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