1,632,784

2⁴ × 19 × 41 × 131

For 1,632,784, the 40 positive divisors have a total of 3,437,280. Removing 1,632,784 leaves 1,804,496, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 19 × 41 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,437,280

Proper Divisor Sum 1,804,496

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1632781 ← → #1632797

Radix Representation

Decimal	1632784
Binary	110001110101000010000 (21 bits)
Octal	0o6165020
Hexadecimal	0x18EA10

Divisor Catalog (40)

1 2 4 8 16 19 38 41 76 82 131 152 164 262 304 328 524 656 779 1,048 1,558 2,096 2,489 3,116 4,978 5,371 6,232 9,956 10,742 12,464 19,912 21,484 39,824 42,968 85,936 102,049 204,098 408,196 816,392 1,632,784

Collatz Trajectory (119 steps to reach 1)

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

1,632,784 816,392 408,196 204,098 102,049 306,148 153,074 76,537 229,612 114,806 57,403 172,210 86,105 258,316 129,158 64,579 193,738 96,869 290,608 145,304 72,652 36,326 18,163 54,490 27,245 81,736 40,868 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153

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