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Atlas › Integer Profiles › Node 8,613,616

8,613,616

24 × 11 × 109 × 449
Abundant Even Composite

8,613,616 factors as 2^4 × 11 × 109 × 449. Its 40 positive divisors give a proper-divisor sum of 9,800,384, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 109 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,414,000
Proper Divisor Sum 9,800,384
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8613571 ← → #8613617

Radix Representation

Decimal 8613616
Binary 100000110110111011110000 (24 bits)
Octal 0o40667360
Hexadecimal 0x836EF0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 109 176 218 436 449 872 898 1,199 1,744 1,796 2,398 3,592 4,796 4,939 7,184 9,592 9,878 19,184 19,756 39,512 48,941 79,024 97,882 195,764 391,528 538,351 783,056 1,076,702 2,153,404 4,306,808 8,613,616

Collatz Trajectory (212 steps to reach 1)

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

8,613,616 4,306,808 2,153,404 1,076,702 538,351 1,615,054 807,527 2,422,582 1,211,291 3,633,874 1,816,937 5,450,812 2,725,406 1,362,703 4,088,110 2,044,055 6,132,166 3,066,083 9,198,250 4,599,125 13,797,376 6,898,688 3,449,344 1,724,672 862,336 431,168 215,584 107,792 53,896 26,948 13,474 6,737 20,212 10,106 5,053 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674

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