4,033,488

2⁴ × 3 × 17 × 4943

4,033,488 has the prime decomposition 2^4 × 3 × 17 × 4943. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 4943

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,035,008

Proper Divisor Sum 7,001,520

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4033483 ← → #4033489

Radix Representation

Decimal	4033488
Binary	1111011000101111010000 (22 bits)
Octal	0o17305720
Hexadecimal	0x3D8BD0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 4,943 9,886 14,829 19,772 29,658 39,544 59,316 79,088 84,031 118,632 168,062 237,264 252,093 336,124 504,186 672,248 1,008,372 1,344,496 2,016,744 4,033,488

Collatz Trajectory (136 steps to reach 1)

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

4,033,488 2,016,744 1,008,372 504,186 252,093 756,280 378,140 189,070 94,535 283,606 141,803 425,410 212,705 638,116 319,058 159,529 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858 40,429 121,288 60,644 30,322 15,161 45,484 22,742 11,371 34,114 17,057 51,172 25,586

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