λ
Harmonic Matrix

1,007,841

3 × 31 × 10837
Deficient Odd Composite

1,007,841 has digital root 3. The neighboring primes are 1007827 and 1007857; its proper-divisor sum differs from the starting integer by -628,418.

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Prime Factor Structure

Factorization String 3 × 31 × 10837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,387,264
Proper Divisor Sum 379,423
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1007827 ← → #1007857

Radix Representation

Decimal 1007841
Binary 11110110000011100001 (20 bits)
Octal 0o3660341
Hexadecimal 0xF60E1

Divisor Catalog (5 of 8)

Collatz Trajectory (258 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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