λ
Harmonic Matrix

6,421,792

25 × 13 × 43 × 359
Abundant Even Composite

6,421,792 has digital root 4. The neighboring primes are 6421787 and 6421799; its proper-divisor sum differs from the starting integer by 1,127,296.

Prime Factor Structure

Factorization String 2^5 × 13 × 43 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,970,880
Proper Divisor Sum 7,549,088
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6421787 ← → #6421799

Radix Representation

Decimal 6421792
Binary 11000011111110100100000 (23 bits)
Octal 0o30376440
Hexadecimal 0x61FD20

Divisor Catalog (48)

Collatz Trajectory (147 steps to reach 1)

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

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