65,871

3² × 13 × 563

For 65,871, the 12 positive divisors have a total of 102,648. Removing 65,871 leaves 36,777, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 13 × 563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 102,648

Proper Divisor Sum 36,777

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #65867 ← → #65881

Radix Representation

Decimal	65871
Binary	10000000101001111 (17 bits)
Octal	0o200517
Hexadecimal	0x1014F

Divisor Catalog (12)

1 3 9 13 39 117 563 1,689 5,067 7,319 21,957 65,871

Collatz Trajectory (161 steps to reach 1)

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

65,871 197,614 98,807 296,422 148,211 444,634 222,317 666,952 333,476 166,738 83,369 250,108 125,054 62,527 187,582 93,791 281,374 140,687 422,062 211,031 633,094 316,547 949,642 474,821 1,424,464 712,232 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520 6,260 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71

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