λ
Prime Ledger

5,926,591

11 × 17 × 41 × 773
Deficient Odd Composite

5,926,591 has the prime decomposition 11 × 17 × 41 × 773. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 17 × 41 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,021,728
Proper Divisor Sum 1,095,137
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5926567 ← → #5926601

Radix Representation

Decimal 5926591
Binary 10110100110111010111111 (23 bits)
Octal 0o26467277
Hexadecimal 0x5A6EBF

Divisor Catalog (16)

1 11 17 41 187 451 697 773 7,667 8,503 13,141 31,693 144,551 348,623 538,781 5,926,591

Collatz Trajectory (139 steps to reach 1)

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

5,926,591 17,779,774 8,889,887 26,669,662 13,334,831 40,004,494 20,002,247 60,006,742 30,003,371 90,010,114 45,005,057 135,015,172 67,507,586 33,753,793 101,261,380 50,630,690 25,315,345 75,946,036 37,973,018 18,986,509 56,959,528 28,479,764 14,239,882 7,119,941 21,359,824 10,679,912 5,339,956 2,669,978 1,334,989 4,004,968 2,002,484 1,001,242 500,621 1,501,864 750,932 375,466 187,733 563,200 281,600 140,800 70,400 35,200 17,600 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175

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