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Atlas › Integer Profiles › Node 9,237,162

9,237,162

2 × 3 × 11 × 173 × 809
Abundant Even Composite

9,237,162 factors as 2 × 3 × 11 × 173 × 809. Its 32 positive divisors give a proper-divisor sum of 11,058,198, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 173 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,295,360
Proper Divisor Sum 11,058,198
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9237149 ← → #9237181

Radix Representation

Decimal 9237162
Binary 100011001111001010101010 (24 bits)
Octal 0o43171252
Hexadecimal 0x8CF2AA

Divisor Catalog (32)

1 2 3 6 11 22 33 66 173 346 519 809 1,038 1,618 1,903 2,427 3,806 4,854 5,709 8,899 11,418 17,798 26,697 53,394 139,957 279,914 419,871 839,742 1,539,527 3,079,054 4,618,581 9,237,162

Collatz Trajectory (150 steps to reach 1)

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

9,237,162 4,618,581 13,855,744 6,927,872 3,463,936 1,731,968 865,984 432,992 216,496 108,248 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

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