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Atlas › Integer Profiles › Node 9,730,784

9,730,784

25 × 7 × 43441
Abundant Even Composite

9,730,784 factors as 2^5 × 7 × 43441. Its 24 positive divisors give a proper-divisor sum of 12,163,984, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 43441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,894,768
Proper Divisor Sum 12,163,984
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9730759 ← → #9730801

Radix Representation

Decimal 9730784
Binary 100101000111101011100000 (24 bits)
Octal 0o45075340
Hexadecimal 0x947AE0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 43,441 86,882 173,764 304,087 347,528 608,174 695,056 1,216,348 1,390,112 2,432,696 4,865,392 9,730,784

Collatz Trajectory (101 steps to reach 1)

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

9,730,784 4,865,392 2,432,696 1,216,348 608,174 304,087 912,262 456,131 1,368,394 684,197 2,052,592 1,026,296 513,148 256,574 128,287 384,862 192,431 577,294 288,647 865,942 432,971 1,298,914 649,457 1,948,372 974,186 487,093 1,461,280 730,640 365,320 182,660 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287

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