7,965,917

103 × 77339

Starting at 7,965,917, the Collatz iteration reaches 1 after 217 steps. The first transition is 23897752; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 103 × 77339

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,043,360

Proper Divisor Sum 77,443

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7965907 ← → #7965941

Radix Representation

Decimal	7965917
Binary	11110011000110011011101 (23 bits)
Octal	0o36306335
Hexadecimal	0x798CDD

Divisor Catalog (4)

1 103 77,339 7,965,917

Collatz Trajectory (217 steps to reach 1)

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

7,965,917 23,897,752 11,948,876 5,974,438 2,987,219 8,961,658 4,480,829 13,442,488 6,721,244 3,360,622 1,680,311 5,040,934 2,520,467 7,561,402 3,780,701 11,342,104 5,671,052 2,835,526 1,417,763 4,253,290 2,126,645 6,379,936 3,189,968 1,594,984 797,492 398,746 199,373 598,120 299,060 149,530 74,765 224,296 112,148 56,074 28,037 84,112 42,056 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543

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