6,850,004

2² × 7² × 34949

6,850,004 factors as 2^2 × 7^2 × 34949. Its 18 positive divisors give a proper-divisor sum of 7,095,046, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 34949

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,945,050

Proper Divisor Sum 7,095,046

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #6849991 ← → #6850007

Radix Representation

Decimal	6850004
Binary	11010001000010111010100 (23 bits)
Octal	0o32102724
Hexadecimal	0x6885D4

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 34,949 69,898 139,796 244,643 489,286 978,572 1,712,501 3,425,002 6,850,004

Collatz Trajectory (222 steps to reach 1)

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

6,850,004 3,425,002 1,712,501 5,137,504 2,568,752 1,284,376 642,188 321,094 160,547 481,642 240,821 722,464 361,232 180,616 90,308 45,154 22,577 67,732 33,866 16,933 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800

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