λ
Harmonic Matrix

7,382,713

13 × 43 × 47 × 281
Deficient Odd Composite

7,382,713 has digital root 4. The neighboring primes are 7382689 and 7382717; its proper-divisor sum differs from the starting integer by -6,427,250.

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Prime Factor Structure

Factorization String 13 × 43 × 47 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,338,176
Proper Divisor Sum 955,463
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7382689 ← → #7382717

Radix Representation

Decimal 7382713
Binary 11100001010011010111001 (23 bits)
Octal 0o34123271
Hexadecimal 0x70A6B9

Divisor Catalog (5 of 16)

1 13 43 47 281

Collatz Trajectory (235 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.

7,382,713 22,148,140 11,074,070 5,537,035 16,611,106

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