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Atlas › Integer Profiles › Node 57,727,704

57,727,704

23 × 3 × 31 × 77591
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 77591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,976,640
Proper Divisor Sum 91,248,936
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57727697 ← → #57727717

Radix Representation

Decimal 57727704
Binary 11011100001101101011011000 (26 bits)
Octal 0o334155330
Hexadecimal 0x370DAD8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 77,591 155,182 232,773 310,364 465,546 620,728 931,092 1,862,184 2,405,321 4,810,642 7,215,963 9,621,284 14,431,926 19,242,568 28,863,852 57,727,704

Collatz Trajectory (300 steps to reach 1)

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

57,727,704 28,863,852 14,431,926 7,215,963 21,647,890 10,823,945 32,471,836 16,235,918 8,117,959 24,353,878 12,176,939 36,530,818 18,265,409 54,796,228 27,398,114 13,699,057 41,097,172 20,548,586 10,274,293 30,822,880 15,411,440 7,705,720 3,852,860 1,926,430 963,215 2,889,646 1,444,823 4,334,470 2,167,235 6,501,706 3,250,853 9,752,560 4,876,280 2,438,140 1,219,070 609,535 1,828,606 914,303 2,742,910 1,371,455 4,114,366 2,057,183 6,171,550 3,085,775 9,257,326 4,628,663 13,885,990 6,942,995 20,828,986 10,414,493 31,243,480 15,621,740 7,810,870 3,905,435 11,716,306 5,858,153 17,574,460 8,787,230 4,393,615 13,180,846

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