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Atlas › Integer Profiles › Node 36,977,900

36,977,900

22 × 52 × 29 × 41 × 311
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 29 × 41 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 85,307,040
Proper Divisor Sum 48,329,140
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36977887 ← → #36977909

Radix Representation

Decimal 36977900
Binary 10001101000011110011101100 (26 bits)
Octal 0o215036354
Hexadecimal 0x2343CEC

Divisor Catalog (60 of 72)

1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 311 410 580 622 725 820 1,025 1,189 1,244 1,450 1,555 2,050 2,378 2,900 3,110 4,100 4,756 5,945 6,220 7,775 9,019 11,890 12,751 15,550 18,038 23,780 25,502 29,725 31,100 36,076 45,095 51,004 59,450 63,755 90,190 118,900 127,510 180,380 225,475 255,020 318,775 369,779

Collatz Trajectory (214 steps to reach 1)

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

36,977,900 18,488,950 9,244,475 27,733,426 13,866,713 41,600,140 20,800,070 10,400,035 31,200,106 15,600,053 46,800,160 23,400,080 11,700,040 5,850,020 2,925,010 1,462,505 4,387,516 2,193,758 1,096,879 3,290,638 1,645,319 4,935,958 2,467,979 7,403,938 3,701,969 11,105,908 5,552,954 2,776,477 8,329,432 4,164,716 2,082,358 1,041,179 3,123,538 1,561,769 4,685,308 2,342,654 1,171,327 3,513,982 1,756,991 5,270,974 2,635,487 7,906,462 3,953,231 11,859,694 5,929,847 17,789,542 8,894,771 26,684,314 13,342,157 40,026,472 20,013,236 10,006,618 5,003,309 15,009,928 7,504,964 3,752,482 1,876,241 5,628,724 2,814,362 1,407,181

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