λ
Harmonic Matrix

5,766,352

24 × 103 × 3499
Deficient Even Composite

5,766,352 has digital root 7. The neighboring primes are 5766323 and 5766361; its proper-divisor sum differs from the starting integer by -248,704.

Prime Factor Structure

Factorization String 2^4 × 103 × 3499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,284,000
Proper Divisor Sum 5,517,648
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5766323 ← → #5766361

Radix Representation

Decimal 5766352
Binary 10101111111110011010000 (23 bits)
Octal 0o25776320
Hexadecimal 0x57FCD0

Divisor Catalog (20)

Collatz Trajectory (170 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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