3,686,337

3³ × 136531

3,686,337 factors as 3^3 × 136531. Its 8 positive divisors give a proper-divisor sum of 1,774,943, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3^3 × 136531

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,461,280

Proper Divisor Sum 1,774,943

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3686329 ← → #3686339

Radix Representation

Decimal	3686337
Binary	1110000011111111000001 (22 bits)
Octal	0o16037701
Hexadecimal	0x383FC1

Divisor Catalog (8)

1 3 9 27 136,531 409,593 1,228,779 3,686,337

Collatz Trajectory (128 steps to reach 1)

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

3,686,337 11,059,012 5,529,506 2,764,753 8,294,260 4,147,130 2,073,565 6,220,696 3,110,348 1,555,174 777,587 2,332,762 1,166,381 3,499,144 1,749,572 874,786 437,393 1,312,180 656,090 328,045 984,136 492,068 246,034 123,017 369,052 184,526 92,263 276,790 138,395 415,186 207,593 622,780 311,390 155,695 467,086 233,543 700,630 350,315 1,050,946 525,473 1,576,420 788,210 394,105 1,182,316 591,158 295,579 886,738 443,369 1,330,108 665,054 332,527 997,582 498,791 1,496,374 748,187 2,244,562 1,122,281 3,366,844 1,683,422 841,711

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