λ
Harmonic Matrix

4,008,607

181 × 22147
Deficient Odd Composite

4,008,607 has digital root 7. The neighboring primes are 4008581 and 4008619; its proper-divisor sum differs from the starting integer by -3,986,278.

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Prime Factor Structure

Factorization String 181 × 22147
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,030,936
Proper Divisor Sum 22,329
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4008581 ← → #4008619

Radix Representation

Decimal 4008607
Binary 1111010010101010011111 (22 bits)
Octal 0o17225237
Hexadecimal 0x3D2A9F

Divisor Catalog (4)

1 181 22,147 4,008,607

Collatz Trajectory (141 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.

4,008,607 12,025,822 6,012,911 18,038,734 9,019,367

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