λ
Harmonic Matrix

1,507,931

461 × 3271
Deficient Odd Composite

1,507,931 has digital root 8. The neighboring primes are 1507921 and 1507993; its proper-divisor sum differs from the starting integer by -1,504,198.

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Prime Factor Structure

Factorization String 461 × 3271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,511,664
Proper Divisor Sum 3,733
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1507921 ← → #1507993

Radix Representation

Decimal 1507931
Binary 101110000001001011011 (21 bits)
Octal 0o5601133
Hexadecimal 0x17025B

Divisor Catalog (4)

Collatz Trajectory (181 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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