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43,301,466

2 × 34 × 13 × 29 × 709
Abundant Even Composite

43,301,466 factors as 2 × 3^4 × 13 × 29 × 709. Its 80 positive divisors give a proper-divisor sum of 64,945,134, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 29 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 108,246,600
Proper Divisor Sum 64,945,134
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #43301417 ← → #43301491

Radix Representation

Decimal 43301466
Binary 10100101001011101001011010 (26 bits)
Octal 0o245135132
Hexadecimal 0x294BA5A

Divisor Catalog (60 of 80)

1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 522 702 709 754 783 1,053 1,131 1,418 1,566 2,106 2,127 2,262 2,349 3,393 4,254 4,698 6,381 6,786 9,217 10,179 12,762 18,434 19,143 20,358 20,561 27,651 30,537 38,286 41,122 55,302 57,429 61,074 61,683 82,953 114,858 123,366 165,906

Collatz Trajectory (235 steps to reach 1)

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

43,301,466 21,650,733 64,952,200 32,476,100 16,238,050 8,119,025 24,357,076 12,178,538 6,089,269 18,267,808 9,133,904 4,566,952 2,283,476 1,141,738 570,869 1,712,608 856,304 428,152 214,076 107,038 53,519 160,558 80,279 240,838 120,419 361,258 180,629 541,888 270,944 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791

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