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Atlas › Integer Profiles › Node 17,898,640

17,898,640

24 × 5 × 229 × 977
Abundant Even Composite

17,898,640 factors as 2^4 × 5 × 229 × 977. Its 40 positive divisors give a proper-divisor sum of 23,940,200, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 229 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 41,838,840
Proper Divisor Sum 23,940,200
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #17898611 ← → #17898641

Radix Representation

Decimal 17898640
Binary 1000100010001110010010000 (25 bits)
Octal 0o104216220
Hexadecimal 0x1111C90

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 229 458 916 977 1,145 1,832 1,954 2,290 3,664 3,908 4,580 4,885 7,816 9,160 9,770 15,632 18,320 19,540 39,080 78,160 223,733 447,466 894,932 1,118,665 1,789,864 2,237,330 3,579,728 4,474,660 8,949,320 17,898,640

Collatz Trajectory (120 steps to reach 1)

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

17,898,640 8,949,320 4,474,660 2,237,330 1,118,665 3,355,996 1,677,998 838,999 2,516,998 1,258,499 3,775,498 1,887,749 5,663,248 2,831,624 1,415,812 707,906 353,953 1,061,860 530,930 265,465 796,396 398,198 199,099 597,298 298,649 895,948 447,974 223,987 671,962 335,981 1,007,944 503,972 251,986 125,993 377,980 188,990 94,495 283,486 141,743 425,230 212,615 637,846 318,923 956,770 478,385 1,435,156 717,578 358,789 1,076,368 538,184 269,092 134,546 67,273 201,820 100,910 50,455 151,366 75,683 227,050 113,525

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