λ
Harmonic Matrix

3,772,515

3 × 5 × 251501
Deficient Odd Composite

3,772,515 has digital root 3. The neighboring primes are 3772493 and 3772537; its proper-divisor sum differs from the starting integer by -1,508,982.

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Prime Factor Structure

Factorization String 3 × 5 × 251501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,036,048
Proper Divisor Sum 2,263,533
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3772493 ← → #3772537

Radix Representation

Decimal 3772515
Binary 1110011001000001100011 (22 bits)
Octal 0o16310143
Hexadecimal 0x399063

Divisor Catalog (5 of 8)

Collatz Trajectory (172 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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