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5,875,136

26 × 41 × 2239
Abundant Even Composite

5,875,136 factors as 2^6 × 41 × 2239. Its 28 positive divisors give a proper-divisor sum of 6,073,024, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^6 × 41 × 2239
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 11,948,160
Proper Divisor Sum 6,073,024
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5875117 ← → #5875159

Radix Representation

Decimal 5875136
Binary 10110011010010111000000 (23 bits)
Octal 0o26322700
Hexadecimal 0x59A5C0

Divisor Catalog (28)

1 2 4 8 16 32 41 64 82 164 328 656 1,312 2,239 2,624 4,478 8,956 17,912 35,824 71,648 91,799 143,296 183,598 367,196 734,392 1,468,784 2,937,568 5,875,136

Collatz Trajectory (121 steps to reach 1)

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

5,875,136 2,937,568 1,468,784 734,392 367,196 183,598 91,799 275,398 137,699 413,098 206,549 619,648 309,824 154,912 77,456 38,728 19,364 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282

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