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36,950,460

22 × 3 × 5 × 47 × 13103
Abundant Even Composite

36,950,460 factors as 2^2 × 3 × 5 × 47 × 13103. Its 48 positive divisors give a proper-divisor sum of 68,720,196, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 47 × 13103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,670,656
Proper Divisor Sum 68,720,196
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36950453 ← → #36950467

Radix Representation

Decimal 36950460
Binary 10001100111101000110111100 (26 bits)
Octal 0o214750674
Hexadecimal 0x233D1BC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1,410 2,820 13,103 26,206 39,309 52,412 65,515 78,618 131,030 157,236 196,545 262,060 393,090 615,841 786,180 1,231,682 1,847,523 2,463,364 3,079,205 3,695,046 6,158,410 7,390,092 9,237,615 12,316,820 18,475,230 36,950,460

Collatz Trajectory (196 steps to reach 1)

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

36,950,460 18,475,230 9,237,615 27,712,846 13,856,423 41,569,270 20,784,635 62,353,906 31,176,953 93,530,860 46,765,430 23,382,715 70,148,146 35,074,073 105,222,220 52,611,110 26,305,555 78,916,666 39,458,333 118,375,000 59,187,500 29,593,750 14,796,875 44,390,626 22,195,313 66,585,940 33,292,970 16,646,485 49,939,456 24,969,728 12,484,864 6,242,432 3,121,216 1,560,608 780,304 390,152 195,076 97,538 48,769 146,308 73,154 36,577 109,732 54,866 27,433 82,300 41,150 20,575 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062

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