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47,762,572

22 × 112 × 13 × 7591
Abundant Even Composite

47,762,572 factors as 2^2 × 11^2 × 13 × 7591. Its 36 positive divisors give a proper-divisor sum of 51,191,556, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 13 × 7591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 98,954,128
Proper Divisor Sum 51,191,556
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #47762557 ← → #47762579

Radix Representation

Decimal 47762572
Binary 10110110001100110010001100 (26 bits)
Octal 0o266146214
Hexadecimal 0x2D8CC8C

Divisor Catalog (36)

1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1,573 3,146 6,292 7,591 15,182 30,364 83,501 98,683 167,002 197,366 334,004 394,732 918,511 1,085,513 1,837,022 2,171,026 3,674,044 4,342,052 11,940,643 23,881,286 47,762,572

Collatz Trajectory (186 steps to reach 1)

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

47,762,572 23,881,286 11,940,643 35,821,930 17,910,965 53,732,896 26,866,448 13,433,224 6,716,612 3,358,306 1,679,153 5,037,460 2,518,730 1,259,365 3,778,096 1,889,048 944,524 472,262 236,131 708,394 354,197 1,062,592 531,296 265,648 132,824 66,412 33,206 16,603 49,810 24,905 74,716 37,358 18,679 56,038 28,019 84,058 42,029 126,088 63,044 31,522 15,761 47,284 23,642 11,821 35,464 17,732 8,866 4,433 13,300 6,650 3,325 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422

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