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Atlas › Integer Profiles › Node 33,746,320

33,746,320

24 × 5 × 113 × 3733
Abundant Even Composite

33,746,320 factors as 2^4 × 5 × 113 × 3733. Its 40 positive divisors give a proper-divisor sum of 45,429,416, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 113 × 3733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 79,175,736
Proper Divisor Sum 45,429,416
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #33746311 ← → #33746327

Radix Representation

Decimal 33746320
Binary 10000000101110110110010000 (26 bits)
Octal 0o200566620
Hexadecimal 0x202ED90

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1,130 1,808 2,260 3,733 4,520 7,466 9,040 14,932 18,665 29,864 37,330 59,728 74,660 149,320 298,640 421,829 843,658 1,687,316 2,109,145 3,374,632 4,218,290 6,749,264 8,436,580 16,873,160 33,746,320

Collatz Trajectory (131 steps to reach 1)

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

33,746,320 16,873,160 8,436,580 4,218,290 2,109,145 6,327,436 3,163,718 1,581,859 4,745,578 2,372,789 7,118,368 3,559,184 1,779,592 889,796 444,898 222,449 667,348 333,674 166,837 500,512 250,256 125,128 62,564 31,282 15,641 46,924 23,462 11,731 35,194 17,597 52,792 26,396 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692

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