65,085

3 × 5 × 4339

For 65,085, the 8 positive divisors have a total of 104,160. Removing 65,085 leaves 39,075, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 4339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 104,160

Proper Divisor Sum 39,075

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #65071 ← → #65089

Radix Representation

Decimal	65085
Binary	1111111000111101 (16 bits)
Octal	0o177075
Hexadecimal	0xFE3D

Divisor Catalog (8)

1 3 5 15 4,339 13,017 21,695 65,085

Collatz Trajectory (68 steps to reach 1)

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

65,085 195,256 97,628 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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