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Atlas › Integer Profiles › Node 7,201,062

7,201,062

2 × 36 × 11 × 449
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^6 × 11 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,706,600
Proper Divisor Sum 10,505,538
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7201049 ← → #7201063

Radix Representation

Decimal 7201062
Binary 11011011110000100100110 (23 bits)
Octal 0o33360446
Hexadecimal 0x6DE126

Divisor Catalog (56)

1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 449 486 594 729 891 898 1,347 1,458 1,782 2,673 2,694 4,041 4,939 5,346 8,019 8,082 9,878 12,123 14,817 16,038 24,246 29,634 36,369 44,451 72,738 88,902 109,107 133,353 218,214 266,706 327,321 400,059 654,642 800,118 1,200,177 2,400,354 3,600,531 7,201,062

Collatz Trajectory (227 steps to reach 1)

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

7,201,062 3,600,531 10,801,594 5,400,797 16,202,392 8,101,196 4,050,598 2,025,299 6,075,898 3,037,949 9,113,848 4,556,924 2,278,462 1,139,231 3,417,694 1,708,847 5,126,542 2,563,271 7,689,814 3,844,907 11,534,722 5,767,361 17,302,084 8,651,042 4,325,521 12,976,564 6,488,282 3,244,141 9,732,424 4,866,212 2,433,106 1,216,553 3,649,660 1,824,830 912,415 2,737,246 1,368,623 4,105,870 2,052,935 6,158,806 3,079,403 9,238,210 4,619,105 13,857,316 6,928,658 3,464,329 10,392,988 5,196,494 2,598,247 7,794,742 3,897,371 11,692,114 5,846,057 17,538,172 8,769,086 4,384,543 13,153,630 6,576,815 19,730,446 9,865,223

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