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Atlas › Integer Profiles › Node 9,511,684

9,511,684

22 × 72 × 13 × 3733
Abundant Even Composite

9,511,684 factors as 2^2 × 7^2 × 13 × 3733. Its 36 positive divisors give a proper-divisor sum of 11,346,440, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 3733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,858,124
Proper Divisor Sum 11,346,440
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9511661 ← → #9511693

Radix Representation

Decimal 9511684
Binary 100100010010001100000100 (24 bits)
Octal 0o44221404
Hexadecimal 0x912304

Divisor Catalog (36)

1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1,274 2,548 3,733 7,466 14,932 26,131 48,529 52,262 97,058 104,524 182,917 194,116 339,703 365,834 679,406 731,668 1,358,812 2,377,921 4,755,842 9,511,684

Collatz Trajectory (176 steps to reach 1)

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

9,511,684 4,755,842 2,377,921 7,133,764 3,566,882 1,783,441 5,350,324 2,675,162 1,337,581 4,012,744 2,006,372 1,003,186 501,593 1,504,780 752,390 376,195 1,128,586 564,293 1,692,880 846,440 423,220 211,610 105,805 317,416 158,708 79,354 39,677 119,032 59,516 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057

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