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Atlas › Integer Profiles › Node 33,765,740

33,765,740

22 × 5 × 17 × 47 × 2113
Abundant Even Composite

33,765,740 factors as 2^2 × 5 × 17 × 47 × 2113. Its 48 positive divisors give a proper-divisor sum of 42,947,092, so this integer is abundant. The Collatz stopping time is 351 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 47 × 2113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,712,832
Proper Divisor Sum 42,947,092
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #33765737 ← → #33765749

Radix Representation

Decimal 33765740
Binary 10000000110011100101101100 (26 bits)
Octal 0o200634554
Hexadecimal 0x203396C

Divisor Catalog (48)

1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1,598 2,113 3,196 3,995 4,226 7,990 8,452 10,565 15,980 21,130 35,921 42,260 71,842 99,311 143,684 179,605 198,622 359,210 397,244 496,555 718,420 993,110 1,688,287 1,986,220 3,376,574 6,753,148 8,441,435 16,882,870 33,765,740

Collatz Trajectory (351 steps to reach 1)

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

33,765,740 16,882,870 8,441,435 25,324,306 12,662,153 37,986,460 18,993,230 9,496,615 28,489,846 14,244,923 42,734,770 21,367,385 64,102,156 32,051,078 16,025,539 48,076,618 24,038,309 72,114,928 36,057,464 18,028,732 9,014,366 4,507,183 13,521,550 6,760,775 20,282,326 10,141,163 30,423,490 15,211,745 45,635,236 22,817,618 11,408,809 34,226,428 17,113,214 8,556,607 25,669,822 12,834,911 38,504,734 19,252,367 57,757,102 28,878,551 86,635,654 43,317,827 129,953,482 64,976,741 194,930,224 97,465,112 48,732,556 24,366,278 12,183,139 36,549,418 18,274,709 54,824,128 27,412,064 13,706,032 6,853,016 3,426,508 1,713,254 856,627 2,569,882 1,284,941

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