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Atlas › Integer Profiles › Node 36,907,782

36,907,782

2 × 3 × 17 × 487 × 743
Abundant Even Composite

36,907,782 factors as 2 × 3 × 17 × 487 × 743. Its 32 positive divisors give a proper-divisor sum of 41,515,770, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 487 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,423,552
Proper Divisor Sum 41,515,770
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36907781 ← → #36907789

Radix Representation

Decimal 36907782
Binary 10001100110010101100000110 (26 bits)
Octal 0o214625406
Hexadecimal 0x2332B06

Divisor Catalog (32)

1 2 3 6 17 34 51 102 487 743 974 1,461 1,486 2,229 2,922 4,458 8,279 12,631 16,558 24,837 25,262 37,893 49,674 75,786 361,841 723,682 1,085,523 2,171,046 6,151,297 12,302,594 18,453,891 36,907,782

Collatz Trajectory (103 steps to reach 1)

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

36,907,782 18,453,891 55,361,674 27,680,837 83,042,512 41,521,256 20,760,628 10,380,314 5,190,157 15,570,472 7,785,236 3,892,618 1,946,309 5,838,928 2,919,464 1,459,732 729,866 364,933 1,094,800 547,400 273,700 136,850 68,425 205,276 102,638 51,319 153,958 76,979 230,938 115,469 346,408 173,204 86,602 43,301 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506

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