λ
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9,048,468

22 × 3 × 11 × 13 × 5273
Abundant Even Composite

9,048,468 factors as 2^2 × 3 × 11 × 13 × 5273. Its 48 positive divisors give a proper-divisor sum of 15,760,428, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13 × 5273
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,808,896
Proper Divisor Sum 15,760,428
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9048443 ← → #9048469

Radix Representation

Decimal 9048468
Binary 100010100001000110010100 (24 bits)
Octal 0o42410624
Hexadecimal 0x8A1194

Divisor Catalog (48)

1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1,716 5,273 10,546 15,819 21,092 31,638 58,003 63,276 68,549 116,006 137,098 174,009 205,647 232,012 274,196 348,018 411,294 696,036 754,039 822,588 1,508,078 2,262,117 3,016,156 4,524,234 9,048,468

Collatz Trajectory (225 steps to reach 1)

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

9,048,468 4,524,234 2,262,117 6,786,352 3,393,176 1,696,588 848,294 424,147 1,272,442 636,221 1,908,664 954,332 477,166 238,583 715,750 357,875 1,073,626 536,813 1,610,440 805,220 402,610 201,305 603,916 301,958 150,979 452,938 226,469 679,408 339,704 169,852 84,926 42,463 127,390 63,695 191,086 95,543 286,630 143,315 429,946 214,973 644,920 322,460 161,230 80,615 241,846 120,923 362,770 181,385 544,156 272,078 136,039 408,118 204,059 612,178 306,089 918,268 459,134 229,567 688,702 344,351

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