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Atlas › Integer Profiles › Node 9,550,992

9,550,992

24 × 3 × 11 × 18089
Abundant Even Composite

9,550,992 factors as 2^4 × 3 × 11 × 18089. Its 40 positive divisors give a proper-divisor sum of 17,366,928, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 18089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 26,917,920
Proper Divisor Sum 17,366,928
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9550987 ← → #9550997

Radix Representation

Decimal 9550992
Binary 100100011011110010010000 (24 bits)
Octal 0o44336220
Hexadecimal 0x91BC90

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 18,089 36,178 54,267 72,356 108,534 144,712 198,979 217,068 289,424 397,958 434,136 596,937 795,916 868,272 1,193,874 1,591,832 2,387,748 3,183,664 4,775,496 9,550,992

Collatz Trajectory (194 steps to reach 1)

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

9,550,992 4,775,496 2,387,748 1,193,874 596,937 1,790,812 895,406 447,703 1,343,110 671,555 2,014,666 1,007,333 3,022,000 1,511,000 755,500 377,750 188,875 566,626 283,313 849,940 424,970 212,485 637,456 318,728 159,364 79,682 39,841 119,524 59,762 29,881 89,644 44,822 22,411 67,234 33,617 100,852 50,426 25,213 75,640 37,820 18,910 9,455 28,366 14,183 42,550 21,275 63,826 31,913 95,740 47,870 23,935 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526

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