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Atlas › Integer Profiles › Node 36,926,778

36,926,778

2 × 3 × 7 × 263 × 3343
Abundant Even Composite

36,926,778 factors as 2 × 3 × 7 × 263 × 3343. Its 32 positive divisors give a proper-divisor sum of 47,823,558, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 263 × 3343
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,750,336
Proper Divisor Sum 47,823,558
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36926767 ← → #36926779

Radix Representation

Decimal 36926778
Binary 10001100110111010100111010 (26 bits)
Octal 0o214672472
Hexadecimal 0x233753A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 263 526 789 1,578 1,841 3,343 3,682 5,523 6,686 10,029 11,046 20,058 23,401 46,802 70,203 140,406 879,209 1,758,418 2,637,627 5,275,254 6,154,463 12,308,926 18,463,389 36,926,778

Collatz Trajectory (188 steps to reach 1)

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

36,926,778 18,463,389 55,390,168 27,695,084 13,847,542 6,923,771 20,771,314 10,385,657 31,156,972 15,578,486 7,789,243 23,367,730 11,683,865 35,051,596 17,525,798 8,762,899 26,288,698 13,144,349 39,433,048 19,716,524 9,858,262 4,929,131 14,787,394 7,393,697 22,181,092 11,090,546 5,545,273 16,635,820 8,317,910 4,158,955 12,476,866 6,238,433 18,715,300 9,357,650 4,678,825 14,036,476 7,018,238 3,509,119 10,527,358 5,263,679 15,791,038 7,895,519 23,686,558 11,843,279 35,529,838 17,764,919 53,294,758 26,647,379 79,942,138 39,971,069 119,913,208 59,956,604 29,978,302 14,989,151 44,967,454 22,483,727 67,451,182 33,725,591 101,176,774 50,588,387

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