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Atlas › Integer Profiles › Node 8,992,530

8,992,530

2 × 32 × 5 × 41 × 2437
Abundant Even Composite

8,992,530 factors as 2 × 3^2 × 5 × 41 × 2437. Its 48 positive divisors give a proper-divisor sum of 14,968,134, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 41 × 2437
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,960,664
Proper Divisor Sum 14,968,134
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8992519 ← → #8992531

Radix Representation

Decimal 8992530
Binary 100010010011011100010010 (24 bits)
Octal 0o42233422
Hexadecimal 0x893712

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1,230 1,845 2,437 3,690 4,874 7,311 12,185 14,622 21,933 24,370 36,555 43,866 73,110 99,917 109,665 199,834 219,330 299,751 499,585 599,502 899,253 999,170 1,498,755 1,798,506 2,997,510 4,496,265 8,992,530

Collatz Trajectory (181 steps to reach 1)

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

8,992,530 4,496,265 13,488,796 6,744,398 3,372,199 10,116,598 5,058,299 15,174,898 7,587,449 22,762,348 11,381,174 5,690,587 17,071,762 8,535,881 25,607,644 12,803,822 6,401,911 19,205,734 9,602,867 28,808,602 14,404,301 43,212,904 21,606,452 10,803,226 5,401,613 16,204,840 8,102,420 4,051,210 2,025,605 6,076,816 3,038,408 1,519,204 759,602 379,801 1,139,404 569,702 284,851 854,554 427,277 1,281,832 640,916 320,458 160,229 480,688 240,344 120,172 60,086 30,043 90,130 45,065 135,196 67,598 33,799 101,398 50,699 152,098 76,049 228,148 114,074 57,037

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