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Atlas › Integer Profiles › Node 36,925,830

36,925,830

2 × 32 × 5 × 41 × 10007
Abundant Even Composite

36,925,830 factors as 2 × 3^2 × 5 × 41 × 10007. Its 48 positive divisors give a proper-divisor sum of 61,432,794, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 41 × 10007
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 98,358,624
Proper Divisor Sum 61,432,794
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36925829 ← → #36925883

Radix Representation

Decimal 36925830
Binary 10001100110111000110000110 (26 bits)
Octal 0o214670606
Hexadecimal 0x2337186

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1,230 1,845 3,690 10,007 20,014 30,021 50,035 60,042 90,063 100,070 150,105 180,126 300,210 410,287 450,315 820,574 900,630 1,230,861 2,051,435 2,461,722 3,692,583 4,102,870 6,154,305 7,385,166 12,308,610 18,462,915 36,925,830

Collatz Trajectory (214 steps to reach 1)

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

36,925,830 18,462,915 55,388,746 27,694,373 83,083,120 41,541,560 20,770,780 10,385,390 5,192,695 15,578,086 7,789,043 23,367,130 11,683,565 35,050,696 17,525,348 8,762,674 4,381,337 13,144,012 6,572,006 3,286,003 9,858,010 4,929,005 14,787,016 7,393,508 3,696,754 1,848,377 5,545,132 2,772,566 1,386,283 4,158,850 2,079,425 6,238,276 3,119,138 1,559,569 4,678,708 2,339,354 1,169,677 3,509,032 1,754,516 877,258 438,629 1,315,888 657,944 328,972 164,486 82,243 246,730 123,365 370,096 185,048 92,524 46,262 23,131 69,394 34,697 104,092 52,046 26,023 78,070 39,035

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