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Atlas › Integer Profiles › Node 36,933,220

36,933,220

22 × 5 × 89 × 20749
Abundant Even Composite

36,933,220 factors as 2^2 × 5 × 89 × 20749. Its 24 positive divisors give a proper-divisor sum of 41,501,780, so this integer is abundant. The Collatz stopping time is 377 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 89 × 20749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 78,435,000
Proper Divisor Sum 41,501,780
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #36933217 ← → #36933227

Radix Representation

Decimal 36933220
Binary 10001100111000111001100100 (26 bits)
Octal 0o214707144
Hexadecimal 0x2338E64

Divisor Catalog (24)

1 2 4 5 10 20 89 178 356 445 890 1,780 20,749 41,498 82,996 103,745 207,490 414,980 1,846,661 3,693,322 7,386,644 9,233,305 18,466,610 36,933,220

Collatz Trajectory (377 steps to reach 1)

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

36,933,220 18,466,610 9,233,305 27,699,916 13,849,958 6,924,979 20,774,938 10,387,469 31,162,408 15,581,204 7,790,602 3,895,301 11,685,904 5,842,952 2,921,476 1,460,738 730,369 2,191,108 1,095,554 547,777 1,643,332 821,666 410,833 1,232,500 616,250 308,125 924,376 462,188 231,094 115,547 346,642 173,321 519,964 259,982 129,991 389,974 194,987 584,962 292,481 877,444 438,722 219,361 658,084 329,042 164,521 493,564 246,782 123,391 370,174 185,087 555,262 277,631 832,894 416,447 1,249,342 624,671 1,874,014 937,007 2,811,022 1,405,511

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