3,657,745

5 × 7 × 13 × 8039

For 3,657,745, the 16 positive divisors have a total of 5,402,880. Removing 3,657,745 leaves 1,745,135, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 8039

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,402,880

Proper Divisor Sum 1,745,135

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3657691 ← → #3657749

Radix Representation

Decimal	3657745
Binary	1101111101000000010001 (22 bits)
Octal	0o15750021
Hexadecimal	0x37D011

Divisor Catalog (16)

1 5 7 13 35 65 91 455 8,039 40,195 56,273 104,507 281,365 522,535 731,549 3,657,745

Collatz Trajectory (265 steps to reach 1)

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

3,657,745 10,973,236 5,486,618 2,743,309 8,229,928 4,114,964 2,057,482 1,028,741 3,086,224 1,543,112 771,556 385,778 192,889 578,668 289,334 144,667 434,002 217,001 651,004 325,502 162,751 488,254 244,127 732,382 366,191 1,098,574 549,287 1,647,862 823,931 2,471,794 1,235,897 3,707,692 1,853,846 926,923 2,780,770 1,390,385 4,171,156 2,085,578 1,042,789 3,128,368 1,564,184 782,092 391,046 195,523 586,570 293,285 879,856 439,928 219,964 109,982 54,991 164,974 82,487 247,462 123,731 371,194 185,597 556,792 278,396 139,198

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