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Atlas › Integer Profiles › Node 9,747,732

9,747,732

22 × 3 × 17 × 71 × 673
Abundant Even Composite

9,747,732 factors as 2^2 × 3 × 17 × 71 × 673. Its 48 positive divisors give a proper-divisor sum of 14,710,380, so this integer is abundant. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 71 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,458,112
Proper Divisor Sum 14,710,380
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9747721 ← → #9747737

Radix Representation

Decimal 9747732
Binary 100101001011110100010100 (24 bits)
Octal 0o45136424
Hexadecimal 0x94BD14

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 673 852 1,207 1,346 2,019 2,414 2,692 3,621 4,038 4,828 7,242 8,076 11,441 14,484 22,882 34,323 45,764 47,783 68,646 95,566 137,292 143,349 191,132 286,698 573,396 812,311 1,624,622 2,436,933 3,249,244 4,873,866 9,747,732

Collatz Trajectory (313 steps to reach 1)

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

9,747,732 4,873,866 2,436,933 7,310,800 3,655,400 1,827,700 913,850 456,925 1,370,776 685,388 342,694 171,347 514,042 257,021 771,064 385,532 192,766 96,383 289,150 144,575 433,726 216,863 650,590 325,295 975,886 487,943 1,463,830 731,915 2,195,746 1,097,873 3,293,620 1,646,810 823,405 2,470,216 1,235,108 617,554 308,777 926,332 463,166 231,583 694,750 347,375 1,042,126 521,063 1,563,190 781,595 2,344,786 1,172,393 3,517,180 1,758,590 879,295 2,637,886 1,318,943 3,956,830 1,978,415 5,935,246 2,967,623 8,902,870 4,451,435 13,354,306

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