λ
Ratio Atlas

3,538,902

2 × 3 × 19 × 37 × 839
Abundant Even Composite

3,538,902 factors as 2 × 3 × 19 × 37 × 839. Its 32 positive divisors give a proper-divisor sum of 4,121,898, so this integer is abundant. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 37 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,660,800
Proper Divisor Sum 4,121,898
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3538901 ← → #3538919

Radix Representation

Decimal 3538902
Binary 1101011111111111010110 (22 bits)
Octal 0o15377726
Hexadecimal 0x35FFD6

Divisor Catalog (32)

1 2 3 6 19 37 38 57 74 111 114 222 703 839 1,406 1,678 2,109 2,517 4,218 5,034 15,941 31,043 31,882 47,823 62,086 93,129 95,646 186,258 589,817 1,179,634 1,769,451 3,538,902

Collatz Trajectory (265 steps to reach 1)

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

3,538,902 1,769,451 5,308,354 2,654,177 7,962,532 3,981,266 1,990,633 5,971,900 2,985,950 1,492,975 4,478,926 2,239,463 6,718,390 3,359,195 10,077,586 5,038,793 15,116,380 7,558,190 3,779,095 11,337,286 5,668,643 17,005,930 8,502,965 25,508,896 12,754,448 6,377,224 3,188,612 1,594,306 797,153 2,391,460 1,195,730 597,865 1,793,596 896,798 448,399 1,345,198 672,599 2,017,798 1,008,899 3,026,698 1,513,349 4,540,048 2,270,024 1,135,012 567,506 283,753 851,260 425,630 212,815 638,446 319,223 957,670 478,835 1,436,506 718,253 2,154,760 1,077,380 538,690 269,345 808,036

More profiles

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