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Atlas › Integer Profiles › Node 57,722,300

57,722,300

22 × 52 × 53 × 10891
Abundant Even Composite

57,722,300 factors as 2^2 × 5^2 × 53 × 10891. Its 36 positive divisors give a proper-divisor sum of 69,910,156, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 53 × 10891
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 127,632,456
Proper Divisor Sum 69,910,156
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #57722281 ← → #57722303

Radix Representation

Decimal 57722300
Binary 11011100001100010110111100 (26 bits)
Octal 0o334142674
Hexadecimal 0x370C5BC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 53 100 106 212 265 530 1,060 1,325 2,650 5,300 10,891 21,782 43,564 54,455 108,910 217,820 272,275 544,550 577,223 1,089,100 1,154,446 2,308,892 2,886,115 5,772,230 11,544,460 14,430,575 28,861,150 57,722,300

Collatz Trajectory (238 steps to reach 1)

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

57,722,300 28,861,150 14,430,575 43,291,726 21,645,863 64,937,590 32,468,795 97,406,386 48,703,193 146,109,580 73,054,790 36,527,395 109,582,186 54,791,093 164,373,280 82,186,640 41,093,320 20,546,660 10,273,330 5,136,665 15,409,996 7,704,998 3,852,499 11,557,498 5,778,749 17,336,248 8,668,124 4,334,062 2,167,031 6,501,094 3,250,547 9,751,642 4,875,821 14,627,464 7,313,732 3,656,866 1,828,433 5,485,300 2,742,650 1,371,325 4,113,976 2,056,988 1,028,494 514,247 1,542,742 771,371 2,314,114 1,157,057 3,471,172 1,735,586 867,793 2,603,380 1,301,690 650,845 1,952,536 976,268 488,134 244,067 732,202 366,101

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