λ
Harmonic Matrix

8,802,829

7 × 1257547
Deficient Odd Composite

8,802,829 has digital root 1. The neighboring primes are 8802817 and 8802841; its proper-divisor sum differs from the starting integer by -7,545,274.

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Prime Factor Structure

Factorization String 7 × 1257547
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,060,384
Proper Divisor Sum 1,257,555
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8802817 ← → #8802841

Radix Representation

Decimal 8802829
Binary 100001100101001000001101 (24 bits)
Octal 0o41451015
Hexadecimal 0x86520D

Divisor Catalog (4)

1 7 1,257,547 8,802,829

Collatz Trajectory (36 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.

8,802,829 26,408,488 13,204,244 6,602,122 3,301,061

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