λ
Prime Ledger

7,207,406

2 × 3603703
Deficient Even Composite

7,207,406 has the prime decomposition 2 × 3603703. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3603703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,811,112
Proper Divisor Sum 3,603,706
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7207393 ← → #7207411

Radix Representation

Decimal 7207406
Binary 11011011111100111101110 (23 bits)
Octal 0o33374756
Hexadecimal 0x6DF9EE

Divisor Catalog (4)

1 2 3,603,703 7,207,406

Collatz Trajectory (116 steps to reach 1)

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

7,207,406 3,603,703 10,811,110 5,405,555 16,216,666 8,108,333 24,325,000 12,162,500 6,081,250 3,040,625 9,121,876 4,560,938 2,280,469 6,841,408 3,420,704 1,710,352 855,176 427,588 213,794 106,897 320,692 160,346 80,173 240,520 120,260 60,130 30,065 90,196 45,098 22,549 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

More profiles

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