λ
Harmonic Matrix

7,661,072

24 × 37 × 12941
Deficient Even Composite

7,661,072 has digital root 2. The neighboring primes are 7661057 and 7661077; its proper-divisor sum differs from the starting integer by -76,468.

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Prime Factor Structure

Factorization String 2^4 × 37 × 12941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,245,676
Proper Divisor Sum 7,584,604
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7661057 ← → #7661077

Radix Representation

Decimal 7661072
Binary 11101001110011000010000 (23 bits)
Octal 0o35163020
Hexadecimal 0x74E610

Divisor Catalog (5 of 20)

1 2 4 8 16

Collatz Trajectory (80 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.

7,661,072 3,830,536 1,915,268 957,634 478,817

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