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Atlas › Integer Profiles › Node 20,109,708

20,109,708

22 × 35 × 17 × 1217
Abundant Even Composite

20,109,708 factors as 2^2 × 3^5 × 17 × 1217. Its 72 positive divisors give a proper-divisor sum of 35,752,644, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 17 × 1217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 55,862,352
Proper Divisor Sum 35,752,644
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20109707 ← → #20109709

Radix Representation

Decimal 20109708
Binary 1001100101101100110001100 (25 bits)
Octal 0o114554614
Hexadecimal 0x132D98C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1,217 1,377 1,836 2,434 2,754 3,651 4,131 4,868 5,508 7,302 8,262 10,953 14,604 16,524 20,689 21,906 32,859 41,378 43,812 62,067 65,718 82,756 98,577 124,134 131,436 186,201 197,154 248,268 295,731 372,402 394,308

Collatz Trajectory (208 steps to reach 1)

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

20,109,708 10,054,854 5,027,427 15,082,282 7,541,141 22,623,424 11,311,712 5,655,856 2,827,928 1,413,964 706,982 353,491 1,060,474 530,237 1,590,712 795,356 397,678 198,839 596,518 298,259 894,778 447,389 1,342,168 671,084 335,542 167,771 503,314 251,657 754,972 377,486 188,743 566,230 283,115 849,346 424,673 1,274,020 637,010 318,505 955,516 477,758 238,879 716,638 358,319 1,074,958 537,479 1,612,438 806,219 2,418,658 1,209,329 3,627,988 1,813,994 906,997 2,720,992 1,360,496 680,248 340,124 170,062 85,031 255,094 127,547

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