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Atlas › Integer Profiles › Node 59,217,100

59,217,100

22 × 52 × 743 × 797
Abundant Even Composite

59,217,100 factors as 2^2 × 5^2 × 743 × 797. Its 36 positive divisors give a proper-divisor sum of 69,618,404, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 743 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 128,835,504
Proper Divisor Sum 69,618,404
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #59217077 ← → #59217113

Radix Representation

Decimal 59217100
Binary 11100001111001010011001100 (26 bits)
Octal 0o341712314
Hexadecimal 0x38794CC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 743 797 1,486 1,594 2,972 3,188 3,715 3,985 7,430 7,970 14,860 15,940 18,575 19,925 37,150 39,850 74,300 79,700 592,171 1,184,342 2,368,684 2,960,855 5,921,710 11,843,420 14,804,275 29,608,550 59,217,100

Collatz Trajectory (145 steps to reach 1)

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

59,217,100 29,608,550 14,804,275 44,412,826 22,206,413 66,619,240 33,309,620 16,654,810 8,327,405 24,982,216 12,491,108 6,245,554 3,122,777 9,368,332 4,684,166 2,342,083 7,026,250 3,513,125 10,539,376 5,269,688 2,634,844 1,317,422 658,711 1,976,134 988,067 2,964,202 1,482,101 4,446,304 2,223,152 1,111,576 555,788 277,894 138,947 416,842 208,421 625,264 312,632 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596

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