3,642,687

3² × 37 × 10939

For 3,642,687, the 12 positive divisors have a total of 5,404,360. Removing 3,642,687 leaves 1,761,673, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 37 × 10939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,404,360

Proper Divisor Sum 1,761,673

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3642679 ← → #3642697

Radix Representation

Decimal	3642687
Binary	1101111001010100111111 (22 bits)
Octal	0o15712477
Hexadecimal	0x37953F

Divisor Catalog (12)

1 3 9 37 111 333 10,939 32,817 98,451 404,743 1,214,229 3,642,687

Collatz Trajectory (110 steps to reach 1)

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

3,642,687 10,928,062 5,464,031 16,392,094 8,196,047 24,588,142 12,294,071 36,882,214 18,441,107 55,323,322 27,661,661 82,984,984 41,492,492 20,746,246 10,373,123 31,119,370 15,559,685 46,679,056 23,339,528 11,669,764 5,834,882 2,917,441 8,752,324 4,376,162 2,188,081 6,564,244 3,282,122 1,641,061 4,923,184 2,461,592 1,230,796 615,398 307,699 923,098 461,549 1,384,648 692,324 346,162 173,081 519,244 259,622 129,811 389,434 194,717 584,152 292,076 146,038 73,019 219,058 109,529 328,588 164,294 82,147 246,442 123,221 369,664 184,832 92,416 46,208 23,104

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