3,996,945

3⁴ × 5 × 71 × 139

3,996,945 has the prime decomposition 3^4 × 5 × 71 × 139. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 71 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,318,080

Proper Divisor Sum 3,321,135

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3996931 ← → #3996959

Radix Representation

Decimal	3996945
Binary	1111001111110100010001 (22 bits)
Octal	0o17176421
Hexadecimal	0x3CFD11

Divisor Catalog (40)

1 3 5 9 15 27 45 71 81 135 139 213 355 405 417 639 695 1,065 1,251 1,917 2,085 3,195 3,753 5,751 6,255 9,585 9,869 11,259 18,765 28,755 29,607 49,345 56,295 88,821 148,035 266,463 444,105 799,389 1,332,315 3,996,945

Collatz Trajectory (185 steps to reach 1)

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

3,996,945 11,990,836 5,995,418 2,997,709 8,993,128 4,496,564 2,248,282 1,124,141 3,372,424 1,686,212 843,106 421,553 1,264,660 632,330 316,165 948,496 474,248 237,124 118,562 59,281 177,844 88,922 44,461 133,384 66,692 33,346 16,673 50,020 25,010 12,505 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706

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