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Atlas › Integer Profiles › Node 8,741,016

8,741,016

23 × 32 × 121403
Abundant Even Composite

8,741,016 factors as 2^3 × 3^2 × 121403. Its 24 positive divisors give a proper-divisor sum of 14,932,764, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 121403
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,673,780
Proper Divisor Sum 14,932,764
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8740999 ← → #8741041

Radix Representation

Decimal 8741016
Binary 100001010110000010011000 (24 bits)
Octal 0o41260230
Hexadecimal 0x856098

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 121,403 242,806 364,209 485,612 728,418 971,224 1,092,627 1,456,836 2,185,254 2,913,672 4,370,508 8,741,016

Collatz Trajectory (181 steps to reach 1)

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

8,741,016 4,370,508 2,185,254 1,092,627 3,277,882 1,638,941 4,916,824 2,458,412 1,229,206 614,603 1,843,810 921,905 2,765,716 1,382,858 691,429 2,074,288 1,037,144 518,572 259,286 129,643 388,930 194,465 583,396 291,698 145,849 437,548 218,774 109,387 328,162 164,081 492,244 246,122 123,061 369,184 184,592 92,296 46,148 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

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