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Atlas › Integer Profiles › Node 9,306,324

9,306,324

22 × 32 × 312 × 269
Abundant Even Composite

9,306,324 factors as 2^2 × 3^2 × 31^2 × 269. Its 54 positive divisors give a proper-divisor sum of 15,091,686, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31^2 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 24,398,010
Proper Divisor Sum 15,091,686
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9306317 ← → #9306373

Radix Representation

Decimal 9306324
Binary 100011100000000011010100 (24 bits)
Octal 0o43400324
Hexadecimal 0x8E00D4

Divisor Catalog (54)

1 2 3 4 6 9 12 18 31 36 62 93 124 186 269 279 372 538 558 807 961 1,076 1,116 1,614 1,922 2,421 2,883 3,228 3,844 4,842 5,766 8,339 8,649 9,684 11,532 16,678 17,298 25,017 33,356 34,596 50,034 75,051 100,068 150,102 258,509 300,204 517,018 775,527 1,034,036 1,551,054 2,326,581 3,102,108 4,653,162 9,306,324

Collatz Trajectory (75 steps to reach 1)

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

9,306,324 4,653,162 2,326,581 6,979,744 3,489,872 1,744,936 872,468 436,234 218,117 654,352 327,176 163,588 81,794 40,897 122,692 61,346 30,673 92,020 46,010 23,005 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

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