8,263,258

2 × 17 × 47 × 5171

8,263,258 factors as 2 × 17 × 47 × 5171. Its 16 positive divisors give a proper-divisor sum of 5,142,566, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 17 × 47 × 5171

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,405,824

Proper Divisor Sum 5,142,566

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8263249 ← → #8263291

Radix Representation

Decimal	8263258
Binary	11111100001011001011010 (23 bits)
Octal	0o37413132
Hexadecimal	0x7E165A

Divisor Catalog (16)

1 2 17 34 47 94 799 1,598 5,171 10,342 87,907 175,814 243,037 486,074 4,131,629 8,263,258

Collatz Trajectory (199 steps to reach 1)

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

8,263,258 4,131,629 12,394,888 6,197,444 3,098,722 1,549,361 4,648,084 2,324,042 1,162,021 3,486,064 1,743,032 871,516 435,758 217,879 653,638 326,819 980,458 490,229 1,470,688 735,344 367,672 183,836 91,918 45,959 137,878 68,939 206,818 103,409 310,228 155,114 77,557 232,672 116,336 58,168 29,084 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420

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