λ
Ratio Atlas

1,304,030

2 × 5 × 7 × 13 × 1433
Abundant Even Composite

1,304,030 factors as 2 × 5 × 7 × 13 × 1433. Its 32 positive divisors give a proper-divisor sum of 1,586,914, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 1433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,890,944
Proper Divisor Sum 1,586,914
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #1304029 ← → #1304033

Radix Representation

Decimal 1304030
Binary 100111110010111011110 (21 bits)
Octal 0o4762736
Hexadecimal 0x13E5DE

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 1,433 2,866 7,165 10,031 14,330 18,629 20,062 37,258 50,155 93,145 100,310 130,403 186,290 260,806 652,015 1,304,030

Collatz Trajectory (124 steps to reach 1)

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

1,304,030 652,015 1,956,046 978,023 2,934,070 1,467,035 4,401,106 2,200,553 6,601,660 3,300,830 1,650,415 4,951,246 2,475,623 7,426,870 3,713,435 11,140,306 5,570,153 16,710,460 8,355,230 4,177,615 12,532,846 6,266,423 18,799,270 9,399,635 28,198,906 14,099,453 42,298,360 21,149,180 10,574,590 5,287,295 15,861,886 7,930,943 23,792,830 11,896,415 35,689,246 17,844,623 53,533,870 26,766,935 80,300,806 40,150,403 120,451,210 60,225,605 180,676,816 90,338,408 45,169,204 22,584,602 11,292,301 33,876,904 16,938,452 8,469,226 4,234,613 12,703,840 6,351,920 3,175,960 1,587,980 793,990 396,995 1,190,986 595,493 1,786,480

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