λ
Sigma Notebook

7,922,440

23 × 5 × 37 × 53 × 101
Abundant Even Composite

7,922,440 is even and not a perfect square. Its factorization is 2^3 × 5 × 37 × 53 × 101 and its 64 divisors sum to 18,837,360.

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Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 53 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,837,360
Proper Divisor Sum 10,914,920
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7922413 ← → #7922441

Radix Representation

Decimal 7922440
Binary 11110001110001100001000 (23 bits)
Octal 0o36161410
Hexadecimal 0x78E308

Divisor Catalog (5 of 64)

1 2 4 5 8

Collatz Trajectory (124 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.

7,922,440 3,961,220 1,980,610 990,305 2,970,916

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