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Atlas › Integer Profiles › Node 4,352,940

4,352,940

22 × 34 × 5 × 2687
Abundant Even Composite

4,352,940 factors as 2^2 × 3^4 × 5 × 2687. Its 60 positive divisors give a proper-divisor sum of 9,307,476, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 2687
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 13,660,416
Proper Divisor Sum 9,307,476
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4352921 ← → #4352941

Radix Representation

Decimal 4352940
Binary 10000100110101110101100 (23 bits)
Octal 0o20465654
Hexadecimal 0x426BAC

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1,620 2,687 5,374 8,061 10,748 13,435 16,122 24,183 26,870 32,244 40,305 48,366 53,740 72,549 80,610 96,732 120,915 145,098 161,220 217,647 241,830 290,196 362,745 435,294 483,660 725,490 870,588 1,088,235 1,450,980 2,176,470 4,352,940

Collatz Trajectory (74 steps to reach 1)

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

4,352,940 2,176,470 1,088,235 3,264,706 1,632,353 4,897,060 2,448,530 1,224,265 3,672,796 1,836,398 918,199 2,754,598 1,377,299 4,131,898 2,065,949 6,197,848 3,098,924 1,549,462 774,731 2,324,194 1,162,097 3,486,292 1,743,146 871,573 2,614,720 1,307,360 653,680 326,840 163,420 81,710 40,855 122,566 61,283 183,850 91,925 275,776 137,888 68,944 34,472 17,236 8,618 4,309 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22

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