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Atlas › Integer Profiles › Node 36,939,380

36,939,380

22 × 5 × 23 × 131 × 613
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 131 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,696,384
Proper Divisor Sum 44,757,004
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36939379 ← → #36939391

Radix Representation

Decimal 36939380
Binary 10001100111010011001110100 (26 bits)
Octal 0o214723164
Hexadecimal 0x233A674

Divisor Catalog (48)

1 2 4 5 10 20 23 46 92 115 131 230 262 460 524 613 655 1,226 1,310 2,452 2,620 3,013 3,065 6,026 6,130 12,052 12,260 14,099 15,065 28,198 30,130 56,396 60,260 70,495 80,303 140,990 160,606 281,980 321,212 401,515 803,030 1,606,060 1,846,969 3,693,938 7,387,876 9,234,845 18,469,690 36,939,380

Collatz Trajectory (214 steps to reach 1)

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

36,939,380 18,469,690 9,234,845 27,704,536 13,852,268 6,926,134 3,463,067 10,389,202 5,194,601 15,583,804 7,791,902 3,895,951 11,687,854 5,843,927 17,531,782 8,765,891 26,297,674 13,148,837 39,446,512 19,723,256 9,861,628 4,930,814 2,465,407 7,396,222 3,698,111 11,094,334 5,547,167 16,641,502 8,320,751 24,962,254 12,481,127 37,443,382 18,721,691 56,165,074 28,082,537 84,247,612 42,123,806 21,061,903 63,185,710 31,592,855 94,778,566 47,389,283 142,167,850 71,083,925 213,251,776 106,625,888 53,312,944 26,656,472 13,328,236 6,664,118 3,332,059 9,996,178 4,998,089 14,994,268 7,497,134 3,748,567 11,245,702 5,622,851 16,868,554 8,434,277

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