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Atlas › Integer Profiles › Node 9,504,036

9,504,036

22 × 32 × 227 × 1163
Abundant Even Composite

9,504,036 factors as 2^2 × 3^2 × 227 × 1163. Its 36 positive divisors give a proper-divisor sum of 14,646,636, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 227 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,150,672
Proper Divisor Sum 14,646,636
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9504029 ← → #9504059

Radix Representation

Decimal 9504036
Binary 100100010000010100100100 (24 bits)
Octal 0o44202444
Hexadecimal 0x910524

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 227 454 681 908 1,163 1,362 2,043 2,326 2,724 3,489 4,086 4,652 6,978 8,172 10,467 13,956 20,934 41,868 264,001 528,002 792,003 1,056,004 1,584,006 2,376,009 3,168,012 4,752,018 9,504,036

Collatz Trajectory (269 steps to reach 1)

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

9,504,036 4,752,018 2,376,009 7,128,028 3,564,014 1,782,007 5,346,022 2,673,011 8,019,034 4,009,517 12,028,552 6,014,276 3,007,138 1,503,569 4,510,708 2,255,354 1,127,677 3,383,032 1,691,516 845,758 422,879 1,268,638 634,319 1,902,958 951,479 2,854,438 1,427,219 4,281,658 2,140,829 6,422,488 3,211,244 1,605,622 802,811 2,408,434 1,204,217 3,612,652 1,806,326 903,163 2,709,490 1,354,745 4,064,236 2,032,118 1,016,059 3,048,178 1,524,089 4,572,268 2,286,134 1,143,067 3,429,202 1,714,601 5,143,804 2,571,902 1,285,951 3,857,854 1,928,927 5,786,782 2,893,391 8,680,174 4,340,087 13,020,262

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