9,777,746

2 × 11 × 444443

For 9,777,746, the 8 positive divisors have a total of 15,999,984. Removing 9,777,746 leaves 6,222,238, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 11 × 444443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,999,984

Proper Divisor Sum 6,222,238

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9777707 ← → #9777749

Radix Representation

Decimal	9777746
Binary	100101010011001001010010 (24 bits)
Octal	0o45231122
Hexadecimal	0x953252

Divisor Catalog (8)

1 2 11 22 444,443 888,886 4,888,873 9,777,746

Collatz Trajectory (114 steps to reach 1)

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

9,777,746 4,888,873 14,666,620 7,333,310 3,666,655 10,999,966 5,499,983 16,499,950 8,249,975 24,749,926 12,374,963 37,124,890 18,562,445 55,687,336 27,843,668 13,921,834 6,960,917 20,882,752 10,441,376 5,220,688 2,610,344 1,305,172 652,586 326,293 978,880 489,440 244,720 122,360 61,180 30,590 15,295 45,886 22,943 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723

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