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Atlas › Integer Profiles › Node 52,021,120

52,021,120

27 × 5 × 81283
Abundant Even Composite

52,021,120 factors as 2^7 × 5 × 81283. Its 32 positive divisors give a proper-divisor sum of 72,343,400, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 81283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 124,364,520
Proper Divisor Sum 72,343,400
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #52021117 ← → #52021129

Radix Representation

Decimal 52021120
Binary 11000110011100011110000000 (26 bits)
Octal 0o306343600
Hexadecimal 0x319C780

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 81,283 162,566 325,132 406,415 650,264 812,830 1,300,528 1,625,660 2,601,056 3,251,320 5,202,112 6,502,640 10,404,224 13,005,280 26,010,560 52,021,120

Collatz Trajectory (274 steps to reach 1)

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

52,021,120 26,010,560 13,005,280 6,502,640 3,251,320 1,625,660 812,830 406,415 1,219,246 609,623 1,828,870 914,435 2,743,306 1,371,653 4,114,960 2,057,480 1,028,740 514,370 257,185 771,556 385,778 192,889 578,668 289,334 144,667 434,002 217,001 651,004 325,502 162,751 488,254 244,127 732,382 366,191 1,098,574 549,287 1,647,862 823,931 2,471,794 1,235,897 3,707,692 1,853,846 926,923 2,780,770 1,390,385 4,171,156 2,085,578 1,042,789 3,128,368 1,564,184 782,092 391,046 195,523 586,570 293,285 879,856 439,928 219,964 109,982 54,991

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