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Atlas › Integer Profiles › Node 57,743,300

57,743,300

22 × 52 × 59 × 9787
Abundant Even Composite

57,743,300 factors as 2^2 × 5^2 × 59 × 9787. Its 36 positive divisors give a proper-divisor sum of 69,696,460, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 59 × 9787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 127,439,760
Proper Divisor Sum 69,696,460
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #57743291 ← → #57743351

Radix Representation

Decimal 57743300
Binary 11011100010001011111000100 (26 bits)
Octal 0o334213704
Hexadecimal 0x37117C4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 59 100 118 236 295 590 1,180 1,475 2,950 5,900 9,787 19,574 39,148 48,935 97,870 195,740 244,675 489,350 577,433 978,700 1,154,866 2,309,732 2,887,165 5,774,330 11,548,660 14,435,825 28,871,650 57,743,300

Collatz Trajectory (238 steps to reach 1)

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

57,743,300 28,871,650 14,435,825 43,307,476 21,653,738 10,826,869 32,480,608 16,240,304 8,120,152 4,060,076 2,030,038 1,015,019 3,045,058 1,522,529 4,567,588 2,283,794 1,141,897 3,425,692 1,712,846 856,423 2,569,270 1,284,635 3,853,906 1,926,953 5,780,860 2,890,430 1,445,215 4,335,646 2,167,823 6,503,470 3,251,735 9,755,206 4,877,603 14,632,810 7,316,405 21,949,216 10,974,608 5,487,304 2,743,652 1,371,826 685,913 2,057,740 1,028,870 514,435 1,543,306 771,653 2,314,960 1,157,480 578,740 289,370 144,685 434,056 217,028 108,514 54,257 162,772 81,386 40,693 122,080 61,040

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