8,268,050

2 × 5² × 7 × 23623

Starting at 8,268,050, the Collatz iteration reaches 1 after 212 steps. The first transition is 4134025; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 23623

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,576,256

Proper Divisor Sum 9,308,206

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8268037 ← → #8268067

Radix Representation

Decimal	8268050
Binary	11111100010100100010010 (23 bits)
Octal	0o37424422
Hexadecimal	0x7E2912

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 23,623 47,246 118,115 165,361 236,230 330,722 590,575 826,805 1,181,150 1,653,610 4,134,025 8,268,050

Collatz Trajectory (212 steps to reach 1)

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

8,268,050 4,134,025 12,402,076 6,201,038 3,100,519 9,301,558 4,650,779 13,952,338 6,976,169 20,928,508 10,464,254 5,232,127 15,696,382 7,848,191 23,544,574 11,772,287 35,316,862 17,658,431 52,975,294 26,487,647 79,462,942 39,731,471 119,194,414 59,597,207 178,791,622 89,395,811 268,187,434 134,093,717 402,281,152 201,140,576 100,570,288 50,285,144 25,142,572 12,571,286 6,285,643 18,856,930 9,428,465 28,285,396 14,142,698 7,071,349 21,214,048 10,607,024 5,303,512 2,651,756 1,325,878 662,939 1,988,818 994,409 2,983,228 1,491,614 745,807 2,237,422 1,118,711 3,356,134 1,678,067 5,034,202 2,517,101 7,551,304 3,775,652 1,887,826

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