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Atlas › Integer Profiles › Node 33,730,488

33,730,488

23 × 32 × 11 × 42589
Abundant Even Composite

33,730,488 factors as 2^3 × 3^2 × 11 × 42589. Its 48 positive divisors give a proper-divisor sum of 65,930,112, so this integer is abundant. The Collatz stopping time is 320 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 42589
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,660,600
Proper Divisor Sum 65,930,112
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33730483 ← → #33730507

Radix Representation

Decimal 33730488
Binary 10000000101010111110111000 (26 bits)
Octal 0o200527670
Hexadecimal 0x202AFB8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 42,589 85,178 127,767 170,356 255,534 340,712 383,301 468,479 511,068 766,602 936,958 1,022,136 1,405,437 1,533,204 1,873,916 2,810,874 3,066,408 3,747,832 4,216,311 5,621,748 8,432,622 11,243,496 16,865,244 33,730,488

Collatz Trajectory (320 steps to reach 1)

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

33,730,488 16,865,244 8,432,622 4,216,311 12,648,934 6,324,467 18,973,402 9,486,701 28,460,104 14,230,052 7,115,026 3,557,513 10,672,540 5,336,270 2,668,135 8,004,406 4,002,203 12,006,610 6,003,305 18,009,916 9,004,958 4,502,479 13,507,438 6,753,719 20,261,158 10,130,579 30,391,738 15,195,869 45,587,608 22,793,804 11,396,902 5,698,451 17,095,354 8,547,677 25,643,032 12,821,516 6,410,758 3,205,379 9,616,138 4,808,069 14,424,208 7,212,104 3,606,052 1,803,026 901,513 2,704,540 1,352,270 676,135 2,028,406 1,014,203 3,042,610 1,521,305 4,563,916 2,281,958 1,140,979 3,422,938 1,711,469 5,134,408 2,567,204 1,283,602

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