λ
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4,126,580

22 × 5 × 17 × 53 × 229
Abundant Even Composite

4,126,580 factors as 2^2 × 5 × 17 × 53 × 229. Its 48 positive divisors give a proper-divisor sum of 5,262,940, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 53 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,389,520
Proper Divisor Sum 5,262,940
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4126579 ← → #4126607

Radix Representation

Decimal 4126580
Binary 1111101111011101110100 (22 bits)
Octal 0o17573564
Hexadecimal 0x3EF774

Divisor Catalog (48)

1 2 4 5 10 17 20 34 53 68 85 106 170 212 229 265 340 458 530 901 916 1,060 1,145 1,802 2,290 3,604 3,893 4,505 4,580 7,786 9,010 12,137 15,572 18,020 19,465 24,274 38,930 48,548 60,685 77,860 121,370 206,329 242,740 412,658 825,316 1,031,645 2,063,290 4,126,580

Collatz Trajectory (61 steps to reach 1)

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

4,126,580 2,063,290 1,031,645 3,094,936 1,547,468 773,734 386,867 1,160,602 580,301 1,740,904 870,452 435,226 217,613 652,840 326,420 163,210 81,605 244,816 122,408 61,204 30,602 15,301 45,904 22,952 11,476 5,738 2,869 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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