λ
Prime Ledger

4,090,767

3 × 227 × 6007
Deficient Odd Composite

4,090,767 has the prime decomposition 3 × 227 × 6007. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 227 × 6007
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,479,296
Proper Divisor Sum 1,388,529
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4090763 ← → #4090777

Radix Representation

Decimal 4090767
Binary 1111100110101110001111 (22 bits)
Octal 0o17465617
Hexadecimal 0x3E6B8F

Divisor Catalog (8)

1 3 227 681 6,007 18,021 1,363,589 4,090,767

Collatz Trajectory (198 steps to reach 1)

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

4,090,767 12,272,302 6,136,151 18,408,454 9,204,227 27,612,682 13,806,341 41,419,024 20,709,512 10,354,756 5,177,378 2,588,689 7,766,068 3,883,034 1,941,517 5,824,552 2,912,276 1,456,138 728,069 2,184,208 1,092,104 546,052 273,026 136,513 409,540 204,770 102,385 307,156 153,578 76,789 230,368 115,184 57,592 28,796 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325

More profiles

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