3,688,490

2 × 5 × 13 × 17 × 1669

3,688,490 is even and not a perfect square. Its factorization is 2 × 5 × 13 × 17 × 1669 and its 32 divisors sum to 7,575,120.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 1669

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,575,120

Proper Divisor Sum 3,886,630

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3688469 ← → #3688501

Radix Representation

Decimal	3688490
Binary	1110000100100000101010 (22 bits)
Octal	0o16044052
Hexadecimal	0x38482A

Divisor Catalog (32)

1 2 5 10 13 17 26 34 65 85 130 170 221 442 1,105 1,669 2,210 3,338 8,345 16,690 21,697 28,373 43,394 56,746 108,485 141,865 216,970 283,730 368,849 737,698 1,844,245 3,688,490

Collatz Trajectory (172 steps to reach 1)

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

3,688,490 1,844,245 5,532,736 2,766,368 1,383,184 691,592 345,796 172,898 86,449 259,348 129,674 64,837 194,512 97,256 48,628 24,314 12,157 36,472 18,236 9,118 4,559 13,678 6,839 20,518 10,259 30,778 15,389 46,168 23,084 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109

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