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Atlas › Integer Profiles › Node 36,912,870

36,912,870

2 × 32 × 5 × 410143
Abundant Even Composite

36,912,870 factors as 2 × 3^2 × 5 × 410143. Its 24 positive divisors give a proper-divisor sum of 59,060,826, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 410143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 95,973,696
Proper Divisor Sum 59,060,826
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36912823 ← → #36912871

Radix Representation

Decimal 36912870
Binary 10001100110011111011100110 (26 bits)
Octal 0o214637346
Hexadecimal 0x2333EE6

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 410,143 820,286 1,230,429 2,050,715 2,460,858 3,691,287 4,101,430 6,152,145 7,382,574 12,304,290 18,456,435 36,912,870

Collatz Trajectory (121 steps to reach 1)

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

36,912,870 18,456,435 55,369,306 27,684,653 83,053,960 41,526,980 20,763,490 10,381,745 31,145,236 15,572,618 7,786,309 23,358,928 11,679,464 5,839,732 2,919,866 1,459,933 4,379,800 2,189,900 1,094,950 547,475 1,642,426 821,213 2,463,640 1,231,820 615,910 307,955 923,866 461,933 1,385,800 692,900 346,450 173,225 519,676 259,838 129,919 389,758 194,879 584,638 292,319 876,958 438,479 1,315,438 657,719 1,973,158 986,579 2,959,738 1,479,869 4,439,608 2,219,804 1,109,902 554,951 1,664,854 832,427 2,497,282 1,248,641 3,745,924 1,872,962 936,481 2,809,444 1,404,722

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