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Atlas › Integer Profiles › Node 36,667,300

36,667,300

22 × 52 × 17 × 21569
Abundant Even Composite

36,667,300 factors as 2^2 × 5^2 × 17 × 21569. Its 36 positive divisors give a proper-divisor sum of 47,585,120, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 21569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 84,252,420
Proper Divisor Sum 47,585,120
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #36667277 ← → #36667303

Radix Representation

Decimal 36667300
Binary 10001011110111111110100100 (26 bits)
Octal 0o213677644
Hexadecimal 0x22F7FA4

Divisor Catalog (36)

1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1,700 21,569 43,138 86,276 107,845 215,690 366,673 431,380 539,225 733,346 1,078,450 1,466,692 1,833,365 2,156,900 3,666,730 7,333,460 9,166,825 18,333,650 36,667,300

Collatz Trajectory (134 steps to reach 1)

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

36,667,300 18,333,650 9,166,825 27,500,476 13,750,238 6,875,119 20,625,358 10,312,679 30,938,038 15,469,019 46,407,058 23,203,529 69,610,588 34,805,294 17,402,647 52,207,942 26,103,971 78,311,914 39,155,957 117,467,872 58,733,936 29,366,968 14,683,484 7,341,742 3,670,871 11,012,614 5,506,307 16,518,922 8,259,461 24,778,384 12,389,192 6,194,596 3,097,298 1,548,649 4,645,948 2,322,974 1,161,487 3,484,462 1,742,231 5,226,694 2,613,347 7,840,042 3,920,021 11,760,064 5,880,032 2,940,016 1,470,008 735,004 367,502 183,751 551,254 275,627 826,882 413,441 1,240,324 620,162 310,081 930,244 465,122 232,561

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