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Atlas › Integer Profiles › Node 36,723,010

36,723,010

2 × 5 × 19 × 347 × 557
Deficient Even Composite

36,723,010 factors as 2 × 5 × 19 × 347 × 557. Its 32 positive divisors give a proper-divisor sum of 33,183,230, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 347 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,906,240
Proper Divisor Sum 33,183,230
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #36722999 ← → #36723013

Radix Representation

Decimal 36723010
Binary 10001100000101100101000010 (26 bits)
Octal 0o214054502
Hexadecimal 0x2305942

Divisor Catalog (32)

1 2 5 10 19 38 95 190 347 557 694 1,114 1,735 2,785 3,470 5,570 6,593 10,583 13,186 21,166 32,965 52,915 65,930 105,830 193,279 386,558 966,395 1,932,790 3,672,301 7,344,602 18,361,505 36,723,010

Collatz Trajectory (196 steps to reach 1)

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

36,723,010 18,361,505 55,084,516 27,542,258 13,771,129 41,313,388 20,656,694 10,328,347 30,985,042 15,492,521 46,477,564 23,238,782 11,619,391 34,858,174 17,429,087 52,287,262 26,143,631 78,430,894 39,215,447 117,646,342 58,823,171 176,469,514 88,234,757 264,704,272 132,352,136 66,176,068 33,088,034 16,544,017 49,632,052 24,816,026 12,408,013 37,224,040 18,612,020 9,306,010 4,653,005 13,959,016 6,979,508 3,489,754 1,744,877 5,234,632 2,617,316 1,308,658 654,329 1,962,988 981,494 490,747 1,472,242 736,121 2,208,364 1,104,182 552,091 1,656,274 828,137 2,484,412 1,242,206 621,103 1,863,310 931,655 2,794,966 1,397,483

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