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Atlas › Integer Profiles › Node 20,171,100

20,171,100

22 × 3 × 52 × 71 × 947
Abundant Even Composite

20,171,100 factors as 2^2 × 3 × 5^2 × 71 × 947. Its 72 positive divisors give a proper-divisor sum of 39,075,108, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 71 × 947
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 59,246,208
Proper Divisor Sum 39,075,108
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #20171089 ← → #20171101

Radix Representation

Decimal 20171100
Binary 1001100111100100101011100 (25 bits)
Octal 0o114744534
Hexadecimal 0x133C95C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 947 1,065 1,420 1,775 1,894 2,130 2,841 3,550 3,788 4,260 4,735 5,325 5,682 7,100 9,470 10,650 11,364 14,205 18,940 21,300 23,675 28,410 47,350 56,820 67,237 71,025 94,700 134,474 142,050 201,711 268,948 284,100 336,185 403,422

Collatz Trajectory (58 steps to reach 1)

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

20,171,100 10,085,550 5,042,775 15,128,326 7,564,163 22,692,490 11,346,245 34,038,736 17,019,368 8,509,684 4,254,842 2,127,421 6,382,264 3,191,132 1,595,566 797,783 2,393,350 1,196,675 3,590,026 1,795,013 5,385,040 2,692,520 1,346,260 673,130 336,565 1,009,696 504,848 252,424 126,212 63,106 31,553 94,660 47,330 23,665 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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