λ
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Atlas › Integer Profiles › Node 42,659,080

42,659,080

23 × 5 × 47 × 22691
Abundant Even Composite

42,659,080 factors as 2^3 × 5 × 47 × 22691. Its 32 positive divisors give a proper-divisor sum of 55,370,360, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 47 × 22691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 98,029,440
Proper Divisor Sum 55,370,360
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #42659077 ← → #42659093

Radix Representation

Decimal 42659080
Binary 10100010101110110100001000 (26 bits)
Octal 0o242566410
Hexadecimal 0x28AED08

Divisor Catalog (32)

1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1,880 22,691 45,382 90,764 113,455 181,528 226,910 453,820 907,640 1,066,477 2,132,954 4,265,908 5,332,385 8,531,816 10,664,770 21,329,540 42,659,080

Collatz Trajectory (178 steps to reach 1)

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

42,659,080 21,329,540 10,664,770 5,332,385 15,997,156 7,998,578 3,999,289 11,997,868 5,998,934 2,999,467 8,998,402 4,499,201 13,497,604 6,748,802 3,374,401 10,123,204 5,061,602 2,530,801 7,592,404 3,796,202 1,898,101 5,694,304 2,847,152 1,423,576 711,788 355,894 177,947 533,842 266,921 800,764 400,382 200,191 600,574 300,287 900,862 450,431 1,351,294 675,647 2,026,942 1,013,471 3,040,414 1,520,207 4,560,622 2,280,311 6,840,934 3,420,467 10,261,402 5,130,701 15,392,104 7,696,052 3,848,026 1,924,013 5,772,040 2,886,020 1,443,010 721,505 2,164,516 1,082,258 541,129 1,623,388

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