λ
Harmonic Matrix

9,736,013

7 × 1390859
Deficient Odd Composite

9,736,013 has digital root 2. The neighboring primes are 9736009 and 9736033; its proper-divisor sum differs from the starting integer by -8,345,146.

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Prime Factor Structure

Factorization String 7 × 1390859
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,126,880
Proper Divisor Sum 1,390,867
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9736009 ← → #9736033

Radix Representation

Decimal 9736013
Binary 100101001000111101001101 (24 bits)
Octal 0o45107515
Hexadecimal 0x948F4D

Divisor Catalog (4)

1 7 1,390,859 9,736,013

Collatz Trajectory (88 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.

9,736,013 29,208,040 14,604,020 7,302,010 3,651,005

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