λ
Harmonic Matrix

6,628,421

6628421
Deficient Odd Prime

6,628,421 has digital root 2. The neighboring primes are 6628417 and 6628423; its proper-divisor sum differs from the starting integer by -6,628,420.

Prime Factor Structure

Factorization String 6628421
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,628,422
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6628417 ← → #6628423

Radix Representation

Decimal 6628421
Binary 11001010010010001000101 (23 bits)
Octal 0o31222105
Hexadecimal 0x652445

Divisor Catalog (2)

Collatz Trajectory (72 steps to reach 1)

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

6,628,421 19,885,264 9,942,632 4,971,316 2,485,658 1,242,829 3,728,488 1,864,244 932,122 466,061 1,398,184 699,092 349,546 174,773 524,320 262,160 131,080 65,540 32,770 16,385 49,156 24,578 12,289 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34

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