λ
Harmonic Matrix

6,984,575

52 × 13 × 21491
Deficient Odd Composite

6,984,575 has digital root 8. The neighboring primes are 6984559 and 6984581; its proper-divisor sum differs from the starting integer by -4,641,622.

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Prime Factor Structure

Factorization String 5^2 × 13 × 21491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,327,528
Proper Divisor Sum 2,342,953
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6984559 ← → #6984581

Radix Representation

Decimal 6984575
Binary 11010101001001101111111 (23 bits)
Octal 0o32511577
Hexadecimal 0x6A937F

Divisor Catalog (5 of 12)

1 5 13 25 65

Collatz Trajectory (297 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.

6,984,575 20,953,726 10,476,863 31,430,590 15,715,295

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