λ
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Atlas › Integer Profiles › Node 21,393,060

21,393,060

22 × 3 × 5 × 13 × 27427
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 27427
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,510,656
Proper Divisor Sum 43,117,596
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #21393049 ← → #21393061

Radix Representation

Decimal 21393060
Binary 1010001100110111010100100 (25 bits)
Octal 0o121467244
Hexadecimal 0x1466EA4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 27,427 54,854 82,281 109,708 137,135 164,562 274,270 329,124 356,551 411,405 548,540 713,102 822,810 1,069,653 1,426,204 1,645,620 1,782,755 2,139,306 3,565,510 4,278,612 5,348,265 7,131,020 10,696,530 21,393,060

Collatz Trajectory (146 steps to reach 1)

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

21,393,060 10,696,530 5,348,265 16,044,796 8,022,398 4,011,199 12,033,598 6,016,799 18,050,398 9,025,199 27,075,598 13,537,799 40,613,398 20,306,699 60,920,098 30,460,049 91,380,148 45,690,074 22,845,037 68,535,112 34,267,556 17,133,778 8,566,889 25,700,668 12,850,334 6,425,167 19,275,502 9,637,751 28,913,254 14,456,627 43,369,882 21,684,941 65,054,824 32,527,412 16,263,706 8,131,853 24,395,560 12,197,780 6,098,890 3,049,445 9,148,336 4,574,168 2,287,084 1,143,542 571,771 1,715,314 857,657 2,572,972 1,286,486 643,243 1,929,730 964,865 2,894,596 1,447,298 723,649 2,170,948 1,085,474 542,737 1,628,212 814,106

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