λ
Prime Ledger

11,591

67 × 173
Deficient Odd Composite

11,591 has the prime decomposition 67 × 173. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 67 × 173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,832
Proper Divisor Sum 241
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #11587 ← → #11593

Radix Representation

Decimal 11591
Binary 10110101000111 (14 bits)
Octal 0o26507
Hexadecimal 0x2D47

Divisor Catalog (4)

1 67 173 11,591

Collatz Trajectory (86 steps to reach 1)

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

11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648

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