131,771

131771

For 131,771, the 2 positive divisors have a total of 131,772. Removing 131,771 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 131771

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 131,772

Proper Divisor Sum 1

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #131759 ← → #131777

Radix Representation

Decimal	131771
Binary	100000001010111011 (18 bits)
Octal	0o401273
Hexadecimal	0x202BB

Divisor Catalog (2)

1 131,771

Collatz Trajectory (105 steps to reach 1)

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

131,771 395,314 197,657 592,972 296,486 148,243 444,730 222,365 667,096 333,548 166,774 83,387 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095

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