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Atlas › Integer Profiles › Node 9,507,162

9,507,162

2 × 3 × 7 × 41 × 5521
Abundant Even Composite

9,507,162 factors as 2 × 3 × 7 × 41 × 5521. Its 32 positive divisors give a proper-divisor sum of 12,757,542, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 5521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,264,704
Proper Divisor Sum 12,757,542
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9507161 ← → #9507191

Radix Representation

Decimal 9507162
Binary 100100010001000101011010 (24 bits)
Octal 0o44210532
Hexadecimal 0x91115A

Divisor Catalog (32)

1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1,722 5,521 11,042 16,563 33,126 38,647 77,294 115,941 226,361 231,882 452,722 679,083 1,358,166 1,584,527 3,169,054 4,753,581 9,507,162

Collatz Trajectory (75 steps to reach 1)

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

9,507,162 4,753,581 14,260,744 7,130,372 3,565,186 1,782,593 5,347,780 2,673,890 1,336,945 4,010,836 2,005,418 1,002,709 3,008,128 1,504,064 752,032 376,016 188,008 94,004 47,002 23,501 70,504 35,252 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280

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