6,515,577

3² × 613 × 1181

Starting at 6,515,577, the Collatz iteration reaches 1 after 196 steps. The first transition is 19546732; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 613 × 1181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,434,724

Proper Divisor Sum 2,919,147

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6515567 ← → #6515609

Radix Representation

Decimal	6515577
Binary	11000110110101101111001 (23 bits)
Octal	0o30665571
Hexadecimal	0x636B79

Divisor Catalog (12)

1 3 9 613 1,181 1,839 3,543 5,517 10,629 723,953 2,171,859 6,515,577

Collatz Trajectory (196 steps to reach 1)

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

6,515,577 19,546,732 9,773,366 4,886,683 14,660,050 7,330,025 21,990,076 10,995,038 5,497,519 16,492,558 8,246,279 24,738,838 12,369,419 37,108,258 18,554,129 55,662,388 27,831,194 13,915,597 41,746,792 20,873,396 10,436,698 5,218,349 15,655,048 7,827,524 3,913,762 1,956,881 5,870,644 2,935,322 1,467,661 4,402,984 2,201,492 1,100,746 550,373 1,651,120 825,560 412,780 206,390 103,195 309,586 154,793 464,380 232,190 116,095 348,286 174,143 522,430 261,215 783,646 391,823 1,175,470 587,735 1,763,206 881,603 2,644,810 1,322,405 3,967,216 1,983,608 991,804 495,902 247,951

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