λ
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Atlas › Integer Profiles › Node 3,900,610

3,900,610

2 × 5 × 7 × 103 × 541
Abundant Even Composite

3,900,610 factors as 2 × 5 × 7 × 103 × 541. Its 32 positive divisors give a proper-divisor sum of 4,216,382, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 103 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,116,992
Proper Divisor Sum 4,216,382
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3900583 ← → #3900623

Radix Representation

Decimal 3900610
Binary 1110111000010011000010 (22 bits)
Octal 0o16702302
Hexadecimal 0x3B84C2

Divisor Catalog (32)

1 2 5 7 10 14 35 70 103 206 515 541 721 1,030 1,082 1,442 2,705 3,605 3,787 5,410 7,210 7,574 18,935 37,870 55,723 111,446 278,615 390,061 557,230 780,122 1,950,305 3,900,610

Collatz Trajectory (185 steps to reach 1)

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

3,900,610 1,950,305 5,850,916 2,925,458 1,462,729 4,388,188 2,194,094 1,097,047 3,291,142 1,645,571 4,936,714 2,468,357 7,405,072 3,702,536 1,851,268 925,634 462,817 1,388,452 694,226 347,113 1,041,340 520,670 260,335 781,006 390,503 1,171,510 585,755 1,757,266 878,633 2,635,900 1,317,950 658,975 1,976,926 988,463 2,965,390 1,482,695 4,448,086 2,224,043 6,672,130 3,336,065 10,008,196 5,004,098 2,502,049 7,506,148 3,753,074 1,876,537 5,629,612 2,814,806 1,407,403 4,222,210 2,111,105 6,333,316 3,166,658 1,583,329 4,749,988 2,374,994 1,187,497 3,562,492 1,781,246 890,623

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