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Atlas › Integer Profiles › Node 43,124,488

43,124,488

23 × 11 × 523 × 937
Abundant Even Composite

43,124,488 factors as 2^3 × 11 × 523 × 937. Its 32 positive divisors give a proper-divisor sum of 45,347,672, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 523 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,472,160
Proper Divisor Sum 45,347,672
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #43124467 ← → #43124489

Radix Representation

Decimal 43124488
Binary 10100100100000011100001000 (26 bits)
Octal 0o244403410
Hexadecimal 0x2920708

Divisor Catalog (32)

1 2 4 8 11 22 44 88 523 937 1,046 1,874 2,092 3,748 4,184 5,753 7,496 10,307 11,506 20,614 23,012 41,228 46,024 82,456 490,051 980,102 1,960,204 3,920,408 5,390,561 10,781,122 21,562,244 43,124,488

Collatz Trajectory (191 steps to reach 1)

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

43,124,488 21,562,244 10,781,122 5,390,561 16,171,684 8,085,842 4,042,921 12,128,764 6,064,382 3,032,191 9,096,574 4,548,287 13,644,862 6,822,431 20,467,294 10,233,647 30,700,942 15,350,471 46,051,414 23,025,707 69,077,122 34,538,561 103,615,684 51,807,842 25,903,921 77,711,764 38,855,882 19,427,941 58,283,824 29,141,912 14,570,956 7,285,478 3,642,739 10,928,218 5,464,109 16,392,328 8,196,164 4,098,082 2,049,041 6,147,124 3,073,562 1,536,781 4,610,344 2,305,172 1,152,586 576,293 1,728,880 864,440 432,220 216,110 108,055 324,166 162,083 486,250 243,125 729,376 364,688 182,344 91,172 45,586

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