7,727,717

29 × 439 × 607

For 7,727,717, the 8 positive divisors have a total of 8,025,600. Removing 7,727,717 leaves 297,883, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 439 × 607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,025,600

Proper Divisor Sum 297,883

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7727689 ← → #7727777

Radix Representation

Decimal	7727717
Binary	11101011110101001100101 (23 bits)
Octal	0o35365145
Hexadecimal	0x75EA65

Divisor Catalog (8)

1 29 439 607 12,731 17,603 266,473 7,727,717

Collatz Trajectory (155 steps to reach 1)

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

7,727,717 23,183,152 11,591,576 5,795,788 2,897,894 1,448,947 4,346,842 2,173,421 6,520,264 3,260,132 1,630,066 815,033 2,445,100 1,222,550 611,275 1,833,826 916,913 2,750,740 1,375,370 687,685 2,063,056 1,031,528 515,764 257,882 128,941 386,824 193,412 96,706 48,353 145,060 72,530 36,265 108,796 54,398 27,199 81,598 40,799 122,398 61,199 183,598 91,799 275,398 137,699 413,098 206,549 619,648 309,824 154,912 77,456 38,728 19,364 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171

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