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Atlas › Integer Profiles › Node 36,912,010

36,912,010

2 × 5 × 23 × 312 × 167
Deficient Even Composite

36,912,010 factors as 2 × 5 × 23 × 31^2 × 167. Its 48 positive divisors give a proper-divisor sum of 35,155,958, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 31^2 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,067,968
Proper Divisor Sum 35,155,958
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #36911999 ← → #36912011

Radix Representation

Decimal 36912010
Binary 10001100110011101110001010 (26 bits)
Octal 0o214635612
Hexadecimal 0x2333B8A

Divisor Catalog (48)

1 2 5 10 23 31 46 62 115 155 167 230 310 334 713 835 961 1,426 1,670 1,922 3,565 3,841 4,805 5,177 7,130 7,682 9,610 10,354 19,205 22,103 25,885 38,410 44,206 51,770 110,515 119,071 160,487 221,030 238,142 320,974 595,355 802,435 1,190,710 1,604,870 3,691,201 7,382,402 18,456,005 36,912,010

Collatz Trajectory (103 steps to reach 1)

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

36,912,010 18,456,005 55,368,016 27,684,008 13,842,004 6,921,002 3,460,501 10,381,504 5,190,752 2,595,376 1,297,688 648,844 324,422 162,211 486,634 243,317 729,952 364,976 182,488 91,244 45,622 22,811 68,434 34,217 102,652 51,326 25,663 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084

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