λ
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Atlas › Integer Profiles › Node 9,504,294

9,504,294

2 × 3 × 19 × 263 × 317
Abundant Even Composite

9,504,294 factors as 2 × 3 × 19 × 263 × 317. Its 32 positive divisors give a proper-divisor sum of 10,644,186, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 263 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,148,480
Proper Divisor Sum 10,644,186
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9504289 ← → #9504307

Radix Representation

Decimal 9504294
Binary 100100010000011000100110 (24 bits)
Octal 0o44203046
Hexadecimal 0x910626

Divisor Catalog (32)

1 2 3 6 19 38 57 114 263 317 526 634 789 951 1,578 1,902 4,997 6,023 9,994 12,046 14,991 18,069 29,982 36,138 83,371 166,742 250,113 500,226 1,584,049 3,168,098 4,752,147 9,504,294

Collatz Trajectory (124 steps to reach 1)

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

9,504,294 4,752,147 14,256,442 7,128,221 21,384,664 10,692,332 5,346,166 2,673,083 8,019,250 4,009,625 12,028,876 6,014,438 3,007,219 9,021,658 4,510,829 13,532,488 6,766,244 3,383,122 1,691,561 5,074,684 2,537,342 1,268,671 3,806,014 1,903,007 5,709,022 2,854,511 8,563,534 4,281,767 12,845,302 6,422,651 19,267,954 9,633,977 28,901,932 14,450,966 7,225,483 21,676,450 10,838,225 32,514,676 16,257,338 8,128,669 24,386,008 12,193,004 6,096,502 3,048,251 9,144,754 4,572,377 13,717,132 6,858,566 3,429,283 10,287,850 5,143,925 15,431,776 7,715,888 3,857,944 1,928,972 964,486 482,243 1,446,730 723,365 2,170,096

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