4,037,304

2³ × 3 × 149 × 1129

4,037,304 is even and not a perfect square. Its factorization is 2^3 × 3 × 149 × 1129 and its 32 divisors sum to 10,170,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 149 × 1129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,170,000

Proper Divisor Sum 6,132,696

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4037303 ← → #4037309

Radix Representation

Decimal	4037304
Binary	1111011001101010111000 (22 bits)
Octal	0o17315270
Hexadecimal	0x3D9AB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 149 298 447 596 894 1,129 1,192 1,788 2,258 3,387 3,576 4,516 6,774 9,032 13,548 27,096 168,221 336,442 504,663 672,884 1,009,326 1,345,768 2,018,652 4,037,304

Collatz Trajectory (123 steps to reach 1)

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

4,037,304 2,018,652 1,009,326 504,663 1,513,990 756,995 2,270,986 1,135,493 3,406,480 1,703,240 851,620 425,810 212,905 638,716 319,358 159,679 479,038 239,519 718,558 359,279 1,077,838 538,919 1,616,758 808,379 2,425,138 1,212,569 3,637,708 1,818,854 909,427 2,728,282 1,364,141 4,092,424 2,046,212 1,023,106 511,553 1,534,660 767,330 383,665 1,150,996 575,498 287,749 863,248 431,624 215,812 107,906 53,953 161,860 80,930 40,465 121,396 60,698 30,349 91,048 45,524 22,762 11,381 34,144 17,072 8,536 4,268

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