6,411,402

2 × 3² × 131 × 2719

Starting at 6,411,402, the Collatz iteration reaches 1 after 183 steps. The first transition is 3205701; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 2719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,002,560

Proper Divisor Sum 7,591,158

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6411373 ← → #6411421

Radix Representation

Decimal	6411402
Binary	11000011101010010001010 (23 bits)
Octal	0o30352212
Hexadecimal	0x61D48A

Divisor Catalog (24)

1 2 3 6 9 18 131 262 393 786 1,179 2,358 2,719 5,438 8,157 16,314 24,471 48,942 356,189 712,378 1,068,567 2,137,134 3,205,701 6,411,402

Collatz Trajectory (183 steps to reach 1)

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

6,411,402 3,205,701 9,617,104 4,808,552 2,404,276 1,202,138 601,069 1,803,208 901,604 450,802 225,401 676,204 338,102 169,051 507,154 253,577 760,732 380,366 190,183 570,550 285,275 855,826 427,913 1,283,740 641,870 320,935 962,806 481,403 1,444,210 722,105 2,166,316 1,083,158 541,579 1,624,738 812,369 2,437,108 1,218,554 609,277 1,827,832 913,916 456,958 228,479 685,438 342,719 1,028,158 514,079 1,542,238 771,119 2,313,358 1,156,679 3,470,038 1,735,019 5,205,058 2,602,529 7,807,588 3,903,794 1,951,897 5,855,692 2,927,846 1,463,923

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