9,747,733

31 × 383 × 821

9,747,733 factors as 31 × 383 × 821. Its 8 positive divisors give a proper-divisor sum of 353,003, so this integer is deficient. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 31 × 383 × 821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,100,736

Proper Divisor Sum 353,003

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9747721 ← → #9747737

Radix Representation

Decimal	9747733
Binary	100101001011110100010101 (24 bits)
Octal	0o45136425
Hexadecimal	0x94BD15

Divisor Catalog (8)

1 31 383 821 11,873 25,451 314,443 9,747,733

Collatz Trajectory (313 steps to reach 1)

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

9,747,733 29,243,200 14,621,600 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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