9,531,834

2 × 3 × 13 × 122203

Starting at 9,531,834, the Collatz iteration reaches 1 after 269 steps. The first transition is 4765917; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 122203

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,530,272

Proper Divisor Sum 10,998,438

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9531827 ← → #9531869

Radix Representation

Decimal	9531834
Binary	100100010111000110111010 (24 bits)
Octal	0o44270672
Hexadecimal	0x9171BA

Divisor Catalog (16)

1 2 3 6 13 26 39 78 122,203 244,406 366,609 733,218 1,588,639 3,177,278 4,765,917 9,531,834

Collatz Trajectory (269 steps to reach 1)

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

9,531,834 4,765,917 14,297,752 7,148,876 3,574,438 1,787,219 5,361,658 2,680,829 8,042,488 4,021,244 2,010,622 1,005,311 3,015,934 1,507,967 4,523,902 2,261,951 6,785,854 3,392,927 10,178,782 5,089,391 15,268,174 7,634,087 22,902,262 11,451,131 34,353,394 17,176,697 51,530,092 25,765,046 12,882,523 38,647,570 19,323,785 57,971,356 28,985,678 14,492,839 43,478,518 21,739,259 65,217,778 32,608,889 97,826,668 48,913,334 24,456,667 73,370,002 36,685,001 110,055,004 55,027,502 27,513,751 82,541,254 41,270,627 123,811,882 61,905,941 185,717,824 92,858,912 46,429,456 23,214,728 11,607,364 5,803,682 2,901,841 8,705,524 4,352,762 2,176,381

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