λ
Harmonic Matrix

8,009,740

22 × 5 × 47 × 8521
Abundant Even Composite

8,009,740 has digital root 1. The neighboring primes are 8009707 and 8009747; its proper-divisor sum differs from the starting integer by 1,160,872.

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Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 8521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,180,352
Proper Divisor Sum 9,170,612
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8009707 ← → #8009747

Radix Representation

Decimal 8009740
Binary 11110100011100000001100 (23 bits)
Octal 0o36434014
Hexadecimal 0x7A380C

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (155 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.

8,009,740 4,004,870 2,002,435 6,007,306 3,003,653

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