782,685

3² × 5 × 17393

For 782,685, the 12 positive divisors have a total of 1,356,732. Removing 782,685 leaves 574,047, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 17393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,356,732

Proper Divisor Sum 574,047

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #782671 ← → #782687

Radix Representation

Decimal	782685
Binary	10111111000101011101 (20 bits)
Octal	0o2770535
Hexadecimal	0xBF15D

Divisor Catalog (12)

1 3 5 9 15 45 17,393 52,179 86,965 156,537 260,895 782,685

Collatz Trajectory (162 steps to reach 1)

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

782,685 2,348,056 1,174,028 587,014 293,507 880,522 440,261 1,320,784 660,392 330,196 165,098 82,549 247,648 123,824 61,912 30,956 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142

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