996,057

3⁵ × 4099

For 996,057, the 12 positive divisors have a total of 1,492,400. Removing 996,057 leaves 496,343, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^5 × 4099

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,492,400

Proper Divisor Sum 496,343

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #996049 ← → #996067

Radix Representation

Decimal	996057
Binary	11110011001011011001 (20 bits)
Octal	0o3631331
Hexadecimal	0xF32D9

Divisor Catalog (12)

1 3 9 27 81 243 4,099 12,297 36,891 110,673 332,019 996,057

Collatz Trajectory (90 steps to reach 1)

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

996,057 2,988,172 1,494,086 747,043 2,241,130 1,120,565 3,361,696 1,680,848 840,424 420,212 210,106 105,053 315,160 157,580 78,790 39,395 118,186 59,093 177,280 88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

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