λ
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Atlas › Integer Profiles › Node 18,274,360

18,274,360

23 × 5 × 13 × 113 × 311
Abundant Even Composite

18,274,360 factors as 2^3 × 5 × 13 × 113 × 311. Its 64 positive divisors give a proper-divisor sum of 26,541,320, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 113 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 44,815,680
Proper Divisor Sum 26,541,320
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #18274357 ← → #18274367

Radix Representation

Decimal 18274360
Binary 1000101101101100000111000 (25 bits)
Octal 0o105554070
Hexadecimal 0x116D838

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 311 452 520 565 622 904 1,130 1,244 1,469 1,555 2,260 2,488 2,938 3,110 4,043 4,520 5,876 6,220 7,345 8,086 11,752 12,440 14,690 16,172 20,215 29,380 32,344 35,143 40,430 58,760 70,286 80,860 140,572 161,720 175,715 281,144 351,430 456,859 702,860 913,718 1,405,720 1,827,436 2,284,295

Collatz Trajectory (195 steps to reach 1)

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

18,274,360 9,137,180 4,568,590 2,284,295 6,852,886 3,426,443 10,279,330 5,139,665 15,418,996 7,709,498 3,854,749 11,564,248 5,782,124 2,891,062 1,445,531 4,336,594 2,168,297 6,504,892 3,252,446 1,626,223 4,878,670 2,439,335 7,318,006 3,659,003 10,977,010 5,488,505 16,465,516 8,232,758 4,116,379 12,349,138 6,174,569 18,523,708 9,261,854 4,630,927 13,892,782 6,946,391 20,839,174 10,419,587 31,258,762 15,629,381 46,888,144 23,444,072 11,722,036 5,861,018 2,930,509 8,791,528 4,395,764 2,197,882 1,098,941 3,296,824 1,648,412 824,206 412,103 1,236,310 618,155 1,854,466 927,233 2,781,700 1,390,850 695,425

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