λ
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Atlas › Integer Profiles › Node 36,428,620

36,428,620

22 × 5 × 17 × 307 × 349
Abundant Even Composite

36,428,620 factors as 2^2 × 5 × 17 × 307 × 349. Its 48 positive divisors give a proper-divisor sum of 45,068,180, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 307 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,496,800
Proper Divisor Sum 45,068,180
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #36428593 ← → #36428629

Radix Representation

Decimal 36428620
Binary 10001010111101101101001100 (26 bits)
Octal 0o212755514
Hexadecimal 0x22BDB4C

Divisor Catalog (48)

1 2 4 5 10 17 20 34 68 85 170 307 340 349 614 698 1,228 1,396 1,535 1,745 3,070 3,490 5,219 5,933 6,140 6,980 10,438 11,866 20,876 23,732 26,095 29,665 52,190 59,330 104,380 107,143 118,660 214,286 428,572 535,715 1,071,430 1,821,431 2,142,860 3,642,862 7,285,724 9,107,155 18,214,310 36,428,620

Collatz Trajectory (134 steps to reach 1)

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

36,428,620 18,214,310 9,107,155 27,321,466 13,660,733 40,982,200 20,491,100 10,245,550 5,122,775 15,368,326 7,684,163 23,052,490 11,526,245 34,578,736 17,289,368 8,644,684 4,322,342 2,161,171 6,483,514 3,241,757 9,725,272 4,862,636 2,431,318 1,215,659 3,646,978 1,823,489 5,470,468 2,735,234 1,367,617 4,102,852 2,051,426 1,025,713 3,077,140 1,538,570 769,285 2,307,856 1,153,928 576,964 288,482 144,241 432,724 216,362 108,181 324,544 162,272 81,136 40,568 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419

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