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Atlas › Integer Profiles › Node 8,093,526

8,093,526

2 × 3 × 72 × 27529
Abundant Even Composite

8,093,526 factors as 2 × 3 × 7^2 × 27529. Its 24 positive divisors give a proper-divisor sum of 10,736,994, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 27529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,830,520
Proper Divisor Sum 10,736,994
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8093509 ← → #8093537

Radix Representation

Decimal 8093526
Binary 11110110111111101010110 (23 bits)
Octal 0o36677526
Hexadecimal 0x7B7F56

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 27,529 55,058 82,587 165,174 192,703 385,406 578,109 1,156,218 1,348,921 2,697,842 4,046,763 8,093,526

Collatz Trajectory (111 steps to reach 1)

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

8,093,526 4,046,763 12,140,290 6,070,145 18,210,436 9,105,218 4,552,609 13,657,828 6,828,914 3,414,457 10,243,372 5,121,686 2,560,843 7,682,530 3,841,265 11,523,796 5,761,898 2,880,949 8,642,848 4,321,424 2,160,712 1,080,356 540,178 270,089 810,268 405,134 202,567 607,702 303,851 911,554 455,777 1,367,332 683,666 341,833 1,025,500 512,750 256,375 769,126 384,563 1,153,690 576,845 1,730,536 865,268 432,634 216,317 648,952 324,476 162,238 81,119 243,358 121,679 365,038 182,519 547,558 273,779 821,338 410,669 1,232,008 616,004 308,002

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