7,789,327

7 × 13 × 85597

Starting at 7,789,327, the Collatz iteration reaches 1 after 67 steps. The first transition is 23367982; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 85597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,586,976

Proper Divisor Sum 1,797,649

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7789289 ← → #7789333

Radix Representation

Decimal	7789327
Binary	11101101101101100001111 (23 bits)
Octal	0o35555417
Hexadecimal	0x76DB0F

Divisor Catalog (8)

1 7 13 91 85,597 599,179 1,112,761 7,789,327

Collatz Trajectory (67 steps to reach 1)

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

7,789,327 23,367,982 11,683,991 35,051,974 17,525,987 52,577,962 26,288,981 78,866,944 39,433,472 19,716,736 9,858,368 4,929,184 2,464,592 1,232,296 616,148 308,074 154,037 462,112 231,056 115,528 57,764 28,882 14,441 43,324 21,662 10,831 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40

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