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Atlas › Integer Profiles › Node 18,763,590

18,763,590

2 × 3 × 5 × 53 × 11801
Abundant Even Composite

18,763,590 factors as 2 × 3 × 5 × 53 × 11801. Its 32 positive divisors give a proper-divisor sum of 27,122,586, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 53 × 11801
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,886,176
Proper Divisor Sum 27,122,586
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #18763579 ← → #18763601

Radix Representation

Decimal 18763590
Binary 1000111100100111101000110 (25 bits)
Octal 0o107447506
Hexadecimal 0x11E4F46

Divisor Catalog (32)

1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1,590 11,801 23,602 35,403 59,005 70,806 118,010 177,015 354,030 625,453 1,250,906 1,876,359 3,127,265 3,752,718 6,254,530 9,381,795 18,763,590

Collatz Trajectory (164 steps to reach 1)

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

18,763,590 9,381,795 28,145,386 14,072,693 42,218,080 21,109,040 10,554,520 5,277,260 2,638,630 1,319,315 3,957,946 1,978,973 5,936,920 2,968,460 1,484,230 742,115 2,226,346 1,113,173 3,339,520 1,669,760 834,880 417,440 208,720 104,360 52,180 26,090 13,045 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94

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