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Atlas › Integer Profiles › Node 9,503,442

9,503,442

2 × 32 × 13 × 17 × 2389
Abundant Even Composite

9,503,442 factors as 2 × 3^2 × 13 × 17 × 2389. Its 48 positive divisors give a proper-divisor sum of 13,985,478, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 17 × 2389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,488,920
Proper Divisor Sum 13,985,478
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9503441 ← → #9503443

Radix Representation

Decimal 9503442
Binary 100100010000001011010010 (24 bits)
Octal 0o44201322
Hexadecimal 0x9102D2

Divisor Catalog (48)

1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1,326 1,989 2,389 3,978 4,778 7,167 14,334 21,501 31,057 40,613 43,002 62,114 81,226 93,171 121,839 186,342 243,678 279,513 365,517 527,969 559,026 731,034 1,055,938 1,583,907 3,167,814 4,751,721 9,503,442

Collatz Trajectory (269 steps to reach 1)

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

9,503,442 4,751,721 14,255,164 7,127,582 3,563,791 10,691,374 5,345,687 16,037,062 8,018,531 24,055,594 12,027,797 36,083,392 18,041,696 9,020,848 4,510,424 2,255,212 1,127,606 563,803 1,691,410 845,705 2,537,116 1,268,558 634,279 1,902,838 951,419 2,854,258 1,427,129 4,281,388 2,140,694 1,070,347 3,211,042 1,605,521 4,816,564 2,408,282 1,204,141 3,612,424 1,806,212 903,106 451,553 1,354,660 677,330 338,665 1,015,996 507,998 253,999 761,998 380,999 1,142,998 571,499 1,714,498 857,249 2,571,748 1,285,874 642,937 1,928,812 964,406 482,203 1,446,610 723,305 2,169,916

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