λ
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71,024,994

2 × 32 × 1307 × 3019
Abundant Even Composite

71,024,994 factors as 2 × 3^2 × 1307 × 3019. Its 24 positive divisors give a proper-divisor sum of 83,031,246, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1307 × 3019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 154,056,240
Proper Divisor Sum 83,031,246
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #71024981 ← → #71025011

Radix Representation

Decimal 71024994
Binary 100001110111100000101100010 (27 bits)
Octal 0o416740542
Hexadecimal 0x43BC162

Divisor Catalog (24)

1 2 3 6 9 18 1,307 2,614 3,019 3,921 6,038 7,842 9,057 11,763 18,114 23,526 27,171 54,342 3,945,833 7,891,666 11,837,499 23,674,998 35,512,497 71,024,994

Collatz Trajectory (65 steps to reach 1)

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

71,024,994 35,512,497 106,537,492 53,268,746 26,634,373 79,903,120 39,951,560 19,975,780 9,987,890 4,993,945 14,981,836 7,490,918 3,745,459 11,236,378 5,618,189 16,854,568 8,427,284 4,213,642 2,106,821 6,320,464 3,160,232 1,580,116 790,058 395,029 1,185,088 592,544 296,272 148,136 74,068 37,034 18,517 55,552 27,776 13,888 6,944 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10

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