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Atlas › Integer Profiles › Node 11,638,935

11,638,935

32 × 5 × 7 × 11 × 3359
Abundant Odd Composite

11,638,935 factors as 3^2 × 5 × 7 × 11 × 3359. Its 48 positive divisors give a proper-divisor sum of 13,520,745, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 11 × 3359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,159,680
Proper Divisor Sum 13,520,745
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11638903 ← → #11638951

Radix Representation

Decimal 11638935
Binary 101100011001100010010111 (24 bits)
Octal 0o54314227
Hexadecimal 0xB19897

Divisor Catalog (48)

1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1,155 3,359 3,465 10,077 16,795 23,513 30,231 36,949 50,385 70,539 110,847 117,565 151,155 184,745 211,617 258,643 332,541 352,695 554,235 775,929 1,058,085 1,293,215 1,662,705 2,327,787 3,879,645 11,638,935

Collatz Trajectory (184 steps to reach 1)

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

11,638,935 34,916,806 17,458,403 52,375,210 26,187,605 78,562,816 39,281,408 19,640,704 9,820,352 4,910,176 2,455,088 1,227,544 613,772 306,886 153,443 460,330 230,165 690,496 345,248 172,624 86,312 43,156 21,578 10,789 32,368 16,184 8,092 4,046 2,023 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056

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