3,231,209

29 × 67 × 1663

3,231,209 has digital root 2. The neighboring primes are 3231191 and 3231211; its proper-divisor sum differs from the starting integer by -3,067,858.

Prime Factor Structure

Factorization String 29 × 67 × 1663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,394,560

Proper Divisor Sum 163,351

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3231191 ← → #3231211

Radix Representation

Decimal	3231209
Binary	1100010100110111101001 (22 bits)
Octal	0o14246751
Hexadecimal	0x314DE9

Divisor Catalog (8)

1 29 67 1,663 1,943 48,227 111,421 3,231,209

Collatz Trajectory (177 steps to reach 1)

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

3,231,209 9,693,628 4,846,814 2,423,407 7,270,222 3,635,111 10,905,334 5,452,667 16,358,002 8,179,001 24,537,004 12,268,502 6,134,251 18,402,754 9,201,377 27,604,132 13,802,066 6,901,033 20,703,100 10,351,550 5,175,775 15,527,326 7,763,663 23,290,990 11,645,495 34,936,486 17,468,243 52,404,730 26,202,365 78,607,096 39,303,548 19,651,774 9,825,887 29,477,662 14,738,831 44,216,494 22,108,247 66,324,742 33,162,371 99,487,114 49,743,557 149,230,672 74,615,336 37,307,668 18,653,834 9,326,917 27,980,752 13,990,376 6,995,188 3,497,594 1,748,797 5,246,392 2,623,196 1,311,598 655,799 1,967,398 983,699 2,951,098 1,475,549 4,426,648

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