λ
Harmonic Matrix

9,884,742

2 × 3 × 7 × 59 × 3989
Abundant Even Composite

9,884,742 has digital root 6. The neighboring primes are 9884741 and 9884747; its proper-divisor sum differs from the starting integer by 3,212,916.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 59 × 3989
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,982,400
Proper Divisor Sum 13,097,658
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9884741 ← → #9884747

Radix Representation

Decimal 9884742
Binary 100101101101010001000110 (24 bits)
Octal 0o45552106
Hexadecimal 0x96D446

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (176 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.

9,884,742 4,942,371 14,827,114 7,413,557 22,240,672

More profiles

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