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Atlas › Integer Profiles › Node 57,736,032

57,736,032

25 × 3 × 103 × 5839
Abundant Even Composite

57,736,032 factors as 2^5 × 3 × 103 × 5839. Its 48 positive divisors give a proper-divisor sum of 95,318,688, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 103 × 5839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 153,054,720
Proper Divisor Sum 95,318,688
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57736031 ← → #57736037

Radix Representation

Decimal 57736032
Binary 11011100001111101101100000 (26 bits)
Octal 0o334175540
Hexadecimal 0x370FB60

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1,236 1,648 2,472 3,296 4,944 5,839 9,888 11,678 17,517 23,356 35,034 46,712 70,068 93,424 140,136 186,848 280,272 560,544 601,417 1,202,834 1,804,251 2,405,668 3,608,502 4,811,336 7,217,004 9,622,672 14,434,008 19,245,344 28,868,016 57,736,032

Collatz Trajectory (238 steps to reach 1)

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

57,736,032 28,868,016 14,434,008 7,217,004 3,608,502 1,804,251 5,412,754 2,706,377 8,119,132 4,059,566 2,029,783 6,089,350 3,044,675 9,134,026 4,567,013 13,701,040 6,850,520 3,425,260 1,712,630 856,315 2,568,946 1,284,473 3,853,420 1,926,710 963,355 2,890,066 1,445,033 4,335,100 2,167,550 1,083,775 3,251,326 1,625,663 4,876,990 2,438,495 7,315,486 3,657,743 10,973,230 5,486,615 16,459,846 8,229,923 24,689,770 12,344,885 37,034,656 18,517,328 9,258,664 4,629,332 2,314,666 1,157,333 3,472,000 1,736,000 868,000 434,000 217,000 108,500 54,250 27,125 81,376 40,688 20,344 10,172

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