36,820,516

2² × 23² × 17401

36,820,516 factors as 2^2 × 23^2 × 17401. Its 18 positive divisors give a proper-divisor sum of 30,542,626, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 23^2 × 17401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 67,363,142

Proper Divisor Sum 30,542,626

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #36820481 ← → #36820523

Radix Representation

Decimal	36820516
Binary	10001100011101011000100100 (26 bits)
Octal	0o214353044
Hexadecimal	0x231D624

Divisor Catalog (18)

1 2 4 23 46 92 529 1,058 2,116 17,401 34,802 69,604 400,223 800,446 1,600,892 9,205,129 18,410,258 36,820,516

Collatz Trajectory (108 steps to reach 1)

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

36,820,516 18,410,258 9,205,129 27,615,388 13,807,694 6,903,847 20,711,542 10,355,771 31,067,314 15,533,657 46,600,972 23,300,486 11,650,243 34,950,730 17,475,365 52,426,096 26,213,048 13,106,524 6,553,262 3,276,631 9,829,894 4,914,947 14,744,842 7,372,421 22,117,264 11,058,632 5,529,316 2,764,658 1,382,329 4,146,988 2,073,494 1,036,747 3,110,242 1,555,121 4,665,364 2,332,682 1,166,341 3,499,024 1,749,512 874,756 437,378 218,689 656,068 328,034 164,017 492,052 246,026 123,013 369,040 184,520 92,260 46,130 23,065 69,196 34,598 17,299 51,898 25,949 77,848 38,924

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