7,943,777

17 × 43 × 10867

Starting at 7,943,777, the Collatz iteration reaches 1 after 155 steps. The first transition is 23831332; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 43 × 10867

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,607,456

Proper Divisor Sum 663,679

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7943773 ← → #7943783

Radix Representation

Decimal	7943777
Binary	11110010011011001100001 (23 bits)
Octal	0o36233141
Hexadecimal	0x793661

Divisor Catalog (8)

1 17 43 731 10,867 184,739 467,281 7,943,777

Collatz Trajectory (155 steps to reach 1)

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

7,943,777 23,831,332 11,915,666 5,957,833 17,873,500 8,936,750 4,468,375 13,405,126 6,702,563 20,107,690 10,053,845 30,161,536 15,080,768 7,540,384 3,770,192 1,885,096 942,548 471,274 235,637 706,912 353,456 176,728 88,364 44,182 22,091 66,274 33,137 99,412 49,706 24,853 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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