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4,051,242

2 × 33 × 13 × 29 × 199
Abundant Even Composite

4,051,242 factors as 2 × 3^3 × 13 × 29 × 199. Its 64 positive divisors give a proper-divisor sum of 6,028,758, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 29 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,080,000
Proper Divisor Sum 6,028,758
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4051181 ← → #4051261

Radix Representation

Decimal 4051242
Binary 1111011101000100101010 (22 bits)
Octal 0o17350452
Hexadecimal 0x3DD12A

Divisor Catalog (60 of 64)

1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 199 234 261 351 377 398 522 597 702 754 783 1,131 1,194 1,566 1,791 2,262 2,587 3,393 3,582 5,174 5,373 5,771 6,786 7,761 10,179 10,746 11,542 15,522 17,313 20,358 23,283 34,626 46,566 51,939 69,849 75,023 103,878 139,698 150,046 155,817 225,069 311,634 450,138

Collatz Trajectory (110 steps to reach 1)

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

4,051,242 2,025,621 6,076,864 3,038,432 1,519,216 759,608 379,804 189,902 94,951 284,854 142,427 427,282 213,641 640,924 320,462 160,231 480,694 240,347 721,042 360,521 1,081,564 540,782 270,391 811,174 405,587 1,216,762 608,381 1,825,144 912,572 456,286 228,143 684,430 342,215 1,026,646 513,323 1,539,970 769,985 2,309,956 1,154,978 577,489 1,732,468 866,234 433,117 1,299,352 649,676 324,838 162,419 487,258 243,629 730,888 365,444 182,722 91,361 274,084 137,042 68,521 205,564 102,782 51,391 154,174

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