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Atlas › Integer Profiles › Node 1,998,216

1,998,216

23 × 33 × 11 × 292
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 29^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 6,271,200
Proper Divisor Sum 4,272,984
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1998209 ← → #1998221

Radix Representation

Decimal 1998216
Binary 111100111110110001000 (21 bits)
Octal 0o7476610
Hexadecimal 0x1E7D88

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 841 957 1,044 1,188 1,276 1,566 1,682 1,914 2,088 2,376 2,523 2,552 2,871 3,132 3,364 3,828 5,046

Collatz Trajectory (153 steps to reach 1)

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

1,998,216 999,108 499,554 249,777 749,332 374,666 187,333 562,000 281,000 140,500 70,250 35,125 105,376 52,688 26,344 13,172 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

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