6,681,950

2 × 5² × 11 × 12149

Starting at 6,681,950, the Collatz iteration reaches 1 after 178 steps. The first transition is 3340975; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 12149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,559,400

Proper Divisor Sum 6,877,450

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6681949 ← → #6681953

Radix Representation

Decimal	6681950
Binary	11001011111010101011110 (23 bits)
Octal	0o31372536
Hexadecimal	0x65F55E

Divisor Catalog (24)

1 2 5 10 11 22 25 50 55 110 275 550 12,149 24,298 60,745 121,490 133,639 267,278 303,725 607,450 668,195 1,336,390 3,340,975 6,681,950

Collatz Trajectory (178 steps to reach 1)

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

6,681,950 3,340,975 10,022,926 5,011,463 15,034,390 7,517,195 22,551,586 11,275,793 33,827,380 16,913,690 8,456,845 25,370,536 12,685,268 6,342,634 3,171,317 9,513,952 4,756,976 2,378,488 1,189,244 594,622 297,311 891,934 445,967 1,337,902 668,951 2,006,854 1,003,427 3,010,282 1,505,141 4,515,424 2,257,712 1,128,856 564,428 282,214 141,107 423,322 211,661 634,984 317,492 158,746 79,373 238,120 119,060 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178

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