8,181,736

2³ × 37 × 131 × 211

8,181,736 has the prime decomposition 2^3 × 37 × 131 × 211. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 37 × 131 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,950,880

Proper Divisor Sum 7,769,144

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8181731 ← → #8181751

Radix Representation

Decimal	8181736
Binary	11111001101011111101000 (23 bits)
Octal	0o37153750
Hexadecimal	0x7CD7E8

Divisor Catalog (32)

1 2 4 8 37 74 131 148 211 262 296 422 524 844 1,048 1,688 4,847 7,807 9,694 15,614 19,388 27,641 31,228 38,776 55,282 62,456 110,564 221,128 1,022,717 2,045,434 4,090,868 8,181,736

Collatz Trajectory (155 steps to reach 1)

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

8,181,736 4,090,868 2,045,434 1,022,717 3,068,152 1,534,076 767,038 383,519 1,150,558 575,279 1,725,838 862,919 2,588,758 1,294,379 3,883,138 1,941,569 5,824,708 2,912,354 1,456,177 4,368,532 2,184,266 1,092,133 3,276,400 1,638,200 819,100 409,550 204,775 614,326 307,163 921,490 460,745 1,382,236 691,118 345,559 1,036,678 518,339 1,555,018 777,509 2,332,528 1,166,264 583,132 291,566 145,783 437,350 218,675 656,026 328,013 984,040 492,020 246,010 123,005 369,016 184,508 92,254 46,127 138,382 69,191 207,574 103,787 311,362

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