3,638,908

2² × 7 × 13² × 769

3,638,908 is even and not a perfect square. Its factorization is 2^2 × 7 × 13^2 × 769 and its 36 divisors sum to 7,890,960.

Prime Factor Structure

Factorization String 2^2 × 7 × 13^2 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 7,890,960

Proper Divisor Sum 4,252,052

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3638903 ← → #3638909

Radix Representation

Decimal	3638908
Binary	1101111000011001111100 (22 bits)
Octal	0o15703174
Hexadecimal	0x37867C

Divisor Catalog (36)

1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 769 1,183 1,538 2,366 3,076 4,732 5,383 9,997 10,766 19,994 21,532 39,988 69,979 129,961 139,958 259,922 279,916 519,844 909,727 1,819,454 3,638,908

Collatz Trajectory (115 steps to reach 1)

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

3,638,908 1,819,454 909,727 2,729,182 1,364,591 4,093,774 2,046,887 6,140,662 3,070,331 9,210,994 4,605,497 13,816,492 6,908,246 3,454,123 10,362,370 5,181,185 15,543,556 7,771,778 3,885,889 11,657,668 5,828,834 2,914,417 8,743,252 4,371,626 2,185,813 6,557,440 3,278,720 1,639,360 819,680 409,840 204,920 102,460 51,230 25,615 76,846 38,423 115,270 57,635 172,906 86,453 259,360 129,680 64,840 32,420 16,210 8,105 24,316 12,158 6,079 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508

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