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Atlas › Integer Profiles › Node 33,744,500

33,744,500

22 × 53 × 67489
Abundant Even Composite

33,744,500 factors as 2^2 × 5^3 × 67489. Its 24 positive divisors give a proper-divisor sum of 39,954,580, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 67489
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 73,699,080
Proper Divisor Sum 39,954,580
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #33744499 ← → #33744509

Radix Representation

Decimal 33744500
Binary 10000000101110011001110100 (26 bits)
Octal 0o200563164
Hexadecimal 0x202E674

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 67,489 134,978 269,956 337,445 674,890 1,349,780 1,687,225 3,374,450 6,748,900 8,436,125 16,872,250 33,744,500

Collatz Trajectory (108 steps to reach 1)

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

33,744,500 16,872,250 8,436,125 25,308,376 12,654,188 6,327,094 3,163,547 9,490,642 4,745,321 14,235,964 7,117,982 3,558,991 10,676,974 5,338,487 16,015,462 8,007,731 24,023,194 12,011,597 36,034,792 18,017,396 9,008,698 4,504,349 13,513,048 6,756,524 3,378,262 1,689,131 5,067,394 2,533,697 7,601,092 3,800,546 1,900,273 5,700,820 2,850,410 1,425,205 4,275,616 2,137,808 1,068,904 534,452 267,226 133,613 400,840 200,420 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674

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