82,635

3 × 5 × 7 × 787

For 82,635, the 16 positive divisors have a total of 151,296. Removing 82,635 leaves 68,661, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 151,296

Proper Divisor Sum 68,661

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #82633 ← → #82651

Radix Representation

Decimal	82635
Binary	10100001011001011 (17 bits)
Octal	0o241313
Hexadecimal	0x142CB

Divisor Catalog (16)

1 3 5 7 15 21 35 105 787 2,361 3,935 5,509 11,805 16,527 27,545 82,635

Collatz Trajectory (151 steps to reach 1)

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

82,635 247,906 123,953 371,860 185,930 92,965 278,896 139,448 69,724 34,862 17,431 52,294 26,147 78,442 39,221 117,664 58,832 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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