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Atlas › Integer Profiles › Node 4,058,616

4,058,616

23 × 3 × 263 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 263 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,200,960
Proper Divisor Sum 6,142,344
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4058599 ← → #4058629

Radix Representation

Decimal 4058616
Binary 1111011110110111111000 (22 bits)
Octal 0o17366770
Hexadecimal 0x3DEDF8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 263 526 643 789 1,052 1,286 1,578 1,929 2,104 2,572 3,156 3,858 5,144 6,312 7,716 15,432 169,109 338,218 507,327 676,436 1,014,654 1,352,872 2,029,308 4,058,616

Collatz Trajectory (229 steps to reach 1)

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

4,058,616 2,029,308 1,014,654 507,327 1,521,982 760,991 2,282,974 1,141,487 3,424,462 1,712,231 5,136,694 2,568,347 7,705,042 3,852,521 11,557,564 5,778,782 2,889,391 8,668,174 4,334,087 13,002,262 6,501,131 19,503,394 9,751,697 29,255,092 14,627,546 7,313,773 21,941,320 10,970,660 5,485,330 2,742,665 8,227,996 4,113,998 2,056,999 6,170,998 3,085,499 9,256,498 4,628,249 13,884,748 6,942,374 3,471,187 10,413,562 5,206,781 15,620,344 7,810,172 3,905,086 1,952,543 5,857,630 2,928,815 8,786,446 4,393,223 13,179,670 6,589,835 19,769,506 9,884,753 29,654,260 14,827,130 7,413,565 22,240,696 11,120,348 5,560,174

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