λ
Prime Ledger

591,767

11 × 23 × 2339
Deficient Odd Composite

591,767 has the prime decomposition 11 × 23 × 2339. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 23 × 2339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 673,920
Proper Divisor Sum 82,153
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #591757 ← → #591779

Radix Representation

Decimal 591767
Binary 10010000011110010111 (20 bits)
Octal 0o2203627
Hexadecimal 0x90797

Divisor Catalog (8)

1 11 23 253 2,339 25,729 53,797 591,767

Collatz Trajectory (159 steps to reach 1)

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

591,767 1,775,302 887,651 2,662,954 1,331,477 3,994,432 1,997,216 998,608 499,304 249,652 124,826 62,413 187,240 93,620 46,810 23,405 70,216 35,108 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107

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