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9,429,330

2 × 3 × 5 × 257 × 1223
Abundant Even Composite

9,429,330 factors as 2 × 3 × 5 × 257 × 1223. Its 32 positive divisors give a proper-divisor sum of 13,307,694, so this integer is abundant. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 257 × 1223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,737,024
Proper Divisor Sum 13,307,694
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9429323 ← → #9429347

Radix Representation

Decimal 9429330
Binary 100011111110000101010010 (24 bits)
Octal 0o43760522
Hexadecimal 0x8FE152

Divisor Catalog (32)

1 2 3 5 6 10 15 30 257 514 771 1,223 1,285 1,542 2,446 2,570 3,669 3,855 6,115 7,338 7,710 12,230 18,345 36,690 314,311 628,622 942,933 1,571,555 1,885,866 3,143,110 4,714,665 9,429,330

Collatz Trajectory (313 steps to reach 1)

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

9,429,330 4,714,665 14,143,996 7,071,998 3,535,999 10,607,998 5,303,999 15,911,998 7,955,999 23,867,998 11,933,999 35,801,998 17,900,999 53,702,998 26,851,499 80,554,498 40,277,249 120,831,748 60,415,874 30,207,937 90,623,812 45,311,906 22,655,953 67,967,860 33,983,930 16,991,965 50,975,896 25,487,948 12,743,974 6,371,987 19,115,962 9,557,981 28,673,944 14,336,972 7,168,486 3,584,243 10,752,730 5,376,365 16,129,096 8,064,548 4,032,274 2,016,137 6,048,412 3,024,206 1,512,103 4,536,310 2,268,155 6,804,466 3,402,233 10,206,700 5,103,350 2,551,675 7,655,026 3,827,513 11,482,540 5,741,270 2,870,635 8,611,906 4,305,953 12,917,860

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