7,988,778

2 × 3² × 7 × 19 × 47 × 71

Starting at 7,988,778, the Collatz iteration reaches 1 after 155 steps. The first transition is 3994389; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 19 × 47 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,565,440

Proper Divisor Sum 13,576,662

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #7988767 ← → #7988789

Radix Representation

Decimal	7988778
Binary	11110011110011000101010 (23 bits)
Octal	0o36363052
Hexadecimal	0x79E62A

Divisor Catalog (60 of 96)

1 2 3 6 7 9 14 18 19 21 38 42 47 57 63 71 94 114 126 133 141 142 171 213 266 282 329 342 399 423 426 497 639 658 798 846 893 987 994 1,197 1,278 1,349 1,491 1,786 1,974 2,394 2,679 2,698 2,961 2,982 3,337 4,047 4,473 5,358 5,922 6,251 6,674 8,037 8,094 8,946

Collatz Trajectory (155 steps to reach 1)

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

7,988,778 3,994,389 11,983,168 5,991,584 2,995,792 1,497,896 748,948 374,474 187,237 561,712 280,856 140,428 70,214 35,107 105,322 52,661 157,984 78,992 39,496 19,748 9,874 4,937 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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