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Atlas › Integer Profiles › Node 17,564,988

17,564,988

22 × 3 × 7 × 67 × 3121
Abundant Even Composite

17,564,988 factors as 2^2 × 3 × 7 × 67 × 3121. Its 48 positive divisors give a proper-divisor sum of 29,989,316, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 67 × 3121
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,554,304
Proper Divisor Sum 29,989,316
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #17564983 ← → #17564993

Radix Representation

Decimal 17564988
Binary 1000011000000010100111100 (25 bits)
Octal 0o103002474
Hexadecimal 0x10C053C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1,407 1,876 2,814 3,121 5,628 6,242 9,363 12,484 18,726 21,847 37,452 43,694 65,541 87,388 131,082 209,107 262,164 418,214 627,321 836,428 1,254,642 1,463,749 2,509,284 2,927,498 4,391,247 5,854,996 8,782,494 17,564,988

Collatz Trajectory (125 steps to reach 1)

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

17,564,988 8,782,494 4,391,247 13,173,742 6,586,871 19,760,614 9,880,307 29,640,922 14,820,461 44,461,384 22,230,692 11,115,346 5,557,673 16,673,020 8,336,510 4,168,255 12,504,766 6,252,383 18,757,150 9,378,575 28,135,726 14,067,863 42,203,590 21,101,795 63,305,386 31,652,693 94,958,080 47,479,040 23,739,520 11,869,760 5,934,880 2,967,440 1,483,720 741,860 370,930 185,465 556,396 278,198 139,099 417,298 208,649 625,948 312,974 156,487 469,462 234,731 704,194 352,097 1,056,292 528,146 264,073 792,220 396,110 198,055 594,166 297,083 891,250 445,625 1,336,876 668,438

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