2,319,207

3 × 11² × 6389

Starting at 2,319,207, the Collatz iteration reaches 1 after 161 steps. The first transition is 6957622; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^2 × 6389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,399,480

Proper Divisor Sum 1,080,273

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2319181 ← → #2319221

Radix Representation

Decimal	2319207
Binary	1000110110001101100111 (22 bits)
Octal	0o10661547
Hexadecimal	0x236367

Divisor Catalog (12)

1 3 11 33 121 363 6,389 19,167 70,279 210,837 773,069 2,319,207

Collatz Trajectory (161 steps to reach 1)

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

2,319,207 6,957,622 3,478,811 10,436,434 5,218,217 15,654,652 7,827,326 3,913,663 11,740,990 5,870,495 17,611,486 8,805,743 26,417,230 13,208,615 39,625,846 19,812,923 59,438,770 29,719,385 89,158,156 44,579,078 22,289,539 66,868,618 33,434,309 100,302,928 50,151,464 25,075,732 12,537,866 6,268,933 18,806,800 9,403,400 4,701,700 2,350,850 1,175,425 3,526,276 1,763,138 881,569 2,644,708 1,322,354 661,177 1,983,532 991,766 495,883 1,487,650 743,825 2,231,476 1,115,738 557,869 1,673,608 836,804 418,402 209,201 627,604 313,802 156,901 470,704 235,352 117,676 58,838 29,419 88,258

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