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Atlas › Integer Profiles › Node 9,503,145

9,503,145

32 × 5 × 223 × 947
Deficient Odd Composite

9,503,145 factors as 3^2 × 5 × 223 × 947. Its 24 positive divisors give a proper-divisor sum of 7,060,311, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 223 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,563,456
Proper Divisor Sum 7,060,311
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9503141 ← → #9503149

Radix Representation

Decimal 9503145
Binary 100100010000000110101001 (24 bits)
Octal 0o44200651
Hexadecimal 0x9101A9

Divisor Catalog (24)

1 3 5 9 15 45 223 669 947 1,115 2,007 2,841 3,345 4,735 8,523 10,035 14,205 42,615 211,181 633,543 1,055,905 1,900,629 3,167,715 9,503,145

Collatz Trajectory (176 steps to reach 1)

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

9,503,145 28,509,436 14,254,718 7,127,359 21,382,078 10,691,039 32,073,118 16,036,559 48,109,678 24,054,839 72,164,518 36,082,259 108,246,778 54,123,389 162,370,168 81,185,084 40,592,542 20,296,271 60,888,814 30,444,407 91,333,222 45,666,611 136,999,834 68,499,917 205,499,752 102,749,876 51,374,938 25,687,469 77,062,408 38,531,204 19,265,602 9,632,801 28,898,404 14,449,202 7,224,601 21,673,804 10,836,902 5,418,451 16,255,354 8,127,677 24,383,032 12,191,516 6,095,758 3,047,879 9,143,638 4,571,819 13,715,458 6,857,729 20,573,188 10,286,594 5,143,297 15,429,892 7,714,946 3,857,473 11,572,420 5,786,210 2,893,105 8,679,316 4,339,658 2,169,829

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