9,991,814

2 × 7 × 827 × 863

Starting at 9,991,814, the Collatz iteration reaches 1 after 163 steps. The first transition is 4995907; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 827 × 863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,169,408

Proper Divisor Sum 7,177,594

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9991811 ← → #9991837

Radix Representation

Decimal	9991814
Binary	100110000111011010000110 (24 bits)
Octal	0o46073206
Hexadecimal	0x987686

Divisor Catalog (16)

1 2 7 14 827 863 1,654 1,726 5,789 6,041 11,578 12,082 713,701 1,427,402 4,995,907 9,991,814

Collatz Trajectory (163 steps to reach 1)

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

9,991,814 4,995,907 14,987,722 7,493,861 22,481,584 11,240,792 5,620,396 2,810,198 1,405,099 4,215,298 2,107,649 6,322,948 3,161,474 1,580,737 4,742,212 2,371,106 1,185,553 3,556,660 1,778,330 889,165 2,667,496 1,333,748 666,874 333,437 1,000,312 500,156 250,078 125,039 375,118 187,559 562,678 281,339 844,018 422,009 1,266,028 633,014 316,507 949,522 474,761 1,424,284 712,142 356,071 1,068,214 534,107 1,602,322 801,161 2,403,484 1,201,742 600,871 1,802,614 901,307 2,703,922 1,351,961 4,055,884 2,027,942 1,013,971 3,041,914 1,520,957 4,562,872 2,281,436

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