λ
Harmonic Matrix

3,672,737

3672737
Deficient Odd Prime

3,672,737 has digital root 8. The neighboring primes are 3672733 and 3672751; its proper-divisor sum differs from the starting integer by -3,672,736.

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Prime Factor Structure

Factorization String 3672737
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,672,738
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3672733 ← → #3672751

Radix Representation

Decimal 3672737
Binary 1110000000101010100001 (22 bits)
Octal 0o16005241
Hexadecimal 0x380AA1

Divisor Catalog (2)

Collatz Trajectory (216 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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