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Atlas › Integer Profiles › Node 17,838,468

17,838,468

22 × 34 × 55057
Abundant Even Composite

17,838,468 factors as 2^2 × 3^4 × 55057. Its 30 positive divisors give a proper-divisor sum of 28,795,658, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 55057
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 46,634,126
Proper Divisor Sum 28,795,658
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #17838463 ← → #17838487

Radix Representation

Decimal 17838468
Binary 1000100000011000110000100 (25 bits)
Octal 0o104030604
Hexadecimal 0x1103184

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 55,057 110,114 165,171 220,228 330,342 495,513 660,684 991,026 1,486,539 1,982,052 2,973,078 4,459,617 5,946,156 8,919,234 17,838,468

Collatz Trajectory (120 steps to reach 1)

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

17,838,468 8,919,234 4,459,617 13,378,852 6,689,426 3,344,713 10,034,140 5,017,070 2,508,535 7,525,606 3,762,803 11,288,410 5,644,205 16,932,616 8,466,308 4,233,154 2,116,577 6,349,732 3,174,866 1,587,433 4,762,300 2,381,150 1,190,575 3,571,726 1,785,863 5,357,590 2,678,795 8,036,386 4,018,193 12,054,580 6,027,290 3,013,645 9,040,936 4,520,468 2,260,234 1,130,117 3,390,352 1,695,176 847,588 423,794 211,897 635,692 317,846 158,923 476,770 238,385 715,156 357,578 178,789 536,368 268,184 134,092 67,046 33,523 100,570 50,285 150,856 75,428 37,714 18,857

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