λ
Integer Codex

8,737,544

23 × 71 × 15383
Deficient Even Composite

For 8,737,544, the 16 positive divisors have a total of 16,614,720. Removing 8,737,544 leaves 7,877,176, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 71 × 15383
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,614,720
Proper Divisor Sum 7,877,176
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8737543 ← → #8737571

Radix Representation

Decimal 8737544
Binary 100001010101001100001000 (24 bits)
Octal 0o41251410
Hexadecimal 0x855308

Divisor Catalog (16)

1 2 4 8 71 142 284 568 15,383 30,766 61,532 123,064 1,092,193 2,184,386 4,368,772 8,737,544

Collatz Trajectory (168 steps to reach 1)

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

8,737,544 4,368,772 2,184,386 1,092,193 3,276,580 1,638,290 819,145 2,457,436 1,228,718 614,359 1,843,078 921,539 2,764,618 1,382,309 4,146,928 2,073,464 1,036,732 518,366 259,183 777,550 388,775 1,166,326 583,163 1,749,490 874,745 2,624,236 1,312,118 656,059 1,968,178 984,089 2,952,268 1,476,134 738,067 2,214,202 1,107,101 3,321,304 1,660,652 830,326 415,163 1,245,490 622,745 1,868,236 934,118 467,059 1,401,178 700,589 2,101,768 1,050,884 525,442 262,721 788,164 394,082 197,041 591,124 295,562 147,781 443,344 221,672 110,836 55,418

More profiles

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