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Atlas › Integer Profiles › Node 9,294,784

9,294,784

26 × 17 × 8543
Abundant Even Composite

9,294,784 factors as 2^6 × 17 × 8543. Its 28 positive divisors give a proper-divisor sum of 10,236,800, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 8543
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 19,531,584
Proper Divisor Sum 10,236,800
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9294773 ← → #9294793

Radix Representation

Decimal 9294784
Binary 100011011101001111000000 (24 bits)
Octal 0o43351700
Hexadecimal 0x8DD3C0

Divisor Catalog (28)

1 2 4 8 16 17 32 34 64 68 136 272 544 1,088 8,543 17,086 34,172 68,344 136,688 145,231 273,376 290,462 546,752 580,924 1,161,848 2,323,696 4,647,392 9,294,784

Collatz Trajectory (163 steps to reach 1)

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

9,294,784 4,647,392 2,323,696 1,161,848 580,924 290,462 145,231 435,694 217,847 653,542 326,771 980,314 490,157 1,470,472 735,236 367,618 183,809 551,428 275,714 137,857 413,572 206,786 103,393 310,180 155,090 77,545 232,636 116,318 58,159 174,478 87,239 261,718 130,859 392,578 196,289 588,868 294,434 147,217 441,652 220,826 110,413 331,240 165,620 82,810 41,405 124,216 62,108 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958

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