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Atlas › Integer Profiles › Node 36,959,476

36,959,476

22 × 71 × 181 × 719
Deficient Even Composite

36,959,476 factors as 2^2 × 71 × 181 × 719. Its 24 positive divisors give a proper-divisor sum of 29,084,684, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^2 × 71 × 181 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 66,044,160
Proper Divisor Sum 29,084,684
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #36959467 ← → #36959477

Radix Representation

Decimal 36959476
Binary 10001100111111010011110100 (26 bits)
Octal 0o214772364
Hexadecimal 0x233F4F4

Divisor Catalog (24)

1 2 4 71 142 181 284 362 719 724 1,438 2,876 12,851 25,702 51,049 51,404 102,098 130,139 204,196 260,278 520,556 9,239,869 18,479,738 36,959,476

Collatz Trajectory (240 steps to reach 1)

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

36,959,476 18,479,738 9,239,869 27,719,608 13,859,804 6,929,902 3,464,951 10,394,854 5,197,427 15,592,282 7,796,141 23,388,424 11,694,212 5,847,106 2,923,553 8,770,660 4,385,330 2,192,665 6,577,996 3,288,998 1,644,499 4,933,498 2,466,749 7,400,248 3,700,124 1,850,062 925,031 2,775,094 1,387,547 4,162,642 2,081,321 6,243,964 3,121,982 1,560,991 4,682,974 2,341,487 7,024,462 3,512,231 10,536,694 5,268,347 15,805,042 7,902,521 23,707,564 11,853,782 5,926,891 17,780,674 8,890,337 26,671,012 13,335,506 6,667,753 20,003,260 10,001,630 5,000,815 15,002,446 7,501,223 22,503,670 11,251,835 33,755,506 16,877,753 50,633,260

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