λ
Harmonic Matrix

6,116,753

17 × 109 × 3301
Deficient Odd Composite

6,116,753 has digital root 2. The neighboring primes are 6116731 and 6116771; its proper-divisor sum differs from the starting integer by -5,695,546.

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Prime Factor Structure

Factorization String 17 × 109 × 3301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,537,960
Proper Divisor Sum 421,207
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6116731 ← → #6116771

Radix Representation

Decimal 6116753
Binary 10111010101010110010001 (23 bits)
Octal 0o27252621
Hexadecimal 0x5D5591

Divisor Catalog (5 of 8)

1 17 109 1,853 3,301

Collatz Trajectory (134 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.

6,116,753 18,350,260 9,175,130 4,587,565 13,762,696

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