8,256,439

37³ × 163

8,256,439 is odd and not a perfect square. Its factorization is 37^3 × 163 and its 8 divisors sum to 8,537,840.

Prime Factor Structure

Factorization String 37^3 × 163

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,537,840

Proper Divisor Sum 281,401

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8256433 ← → #8256449

Radix Representation

Decimal	8256439
Binary	11111011111101110110111 (23 bits)
Octal	0o37375667
Hexadecimal	0x7DFBB7

Divisor Catalog (8)

1 37 163 1,369 6,031 50,653 223,147 8,256,439

Collatz Trajectory (292 steps to reach 1)

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

8,256,439 24,769,318 12,384,659 37,153,978 18,576,989 55,730,968 27,865,484 13,932,742 6,966,371 20,899,114 10,449,557 31,348,672 15,674,336 7,837,168 3,918,584 1,959,292 979,646 489,823 1,469,470 734,735 2,204,206 1,102,103 3,306,310 1,653,155 4,959,466 2,479,733 7,439,200 3,719,600 1,859,800 929,900 464,950 232,475 697,426 348,713 1,046,140 523,070 261,535 784,606 392,303 1,176,910 588,455 1,765,366 882,683 2,648,050 1,324,025 3,972,076 1,986,038 993,019 2,979,058 1,489,529 4,468,588 2,234,294 1,117,147 3,351,442 1,675,721 5,027,164 2,513,582 1,256,791 3,770,374 1,885,187

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