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Atlas › Integer Profiles › Node 9,469,746

9,469,746

2 × 32 × 11 × 132 × 283
Abundant Even Composite

9,469,746 factors as 2 × 3^2 × 11 × 13^2 × 283. Its 72 positive divisors give a proper-divisor sum of 14,853,150, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13^2 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,322,896
Proper Divisor Sum 14,853,150
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9469727 ← → #9469753

Radix Representation

Decimal 9469746
Binary 100100000111111100110010 (24 bits)
Octal 0o44077462
Hexadecimal 0x907F32

Divisor Catalog (60 of 72)

1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 283 286 338 429 507 566 849 858 1,014 1,287 1,521 1,698 1,859 2,547 2,574 3,042 3,113 3,679 3,718 5,094 5,577 6,226 7,358 9,339 11,037 11,154 16,731 18,678 22,074 28,017 33,111 33,462 40,469 47,827 56,034 66,222 80,938 95,654 121,407 143,481

Collatz Trajectory (194 steps to reach 1)

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

9,469,746 4,734,873 14,204,620 7,102,310 3,551,155 10,653,466 5,326,733 15,980,200 7,990,100 3,995,050 1,997,525 5,992,576 2,996,288 1,498,144 749,072 374,536 187,268 93,634 46,817 140,452 70,226 35,113 105,340 52,670 26,335 79,006 39,503 118,510 59,255 177,766 88,883 266,650 133,325 399,976 199,988 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669

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