7,448,202

2 × 3² × 43 × 9623

Starting at 7,448,202, the Collatz iteration reaches 1 after 173 steps. The first transition is 3724101; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 9623

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,514,784

Proper Divisor Sum 9,066,582

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7448179 ← → #7448269

Radix Representation

Decimal	7448202
Binary	11100011010011010001010 (23 bits)
Octal	0o34323212
Hexadecimal	0x71A68A

Divisor Catalog (24)

1 2 3 6 9 18 43 86 129 258 387 774 9,623 19,246 28,869 57,738 86,607 173,214 413,789 827,578 1,241,367 2,482,734 3,724,101 7,448,202

Collatz Trajectory (173 steps to reach 1)

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

7,448,202 3,724,101 11,172,304 5,586,152 2,793,076 1,396,538 698,269 2,094,808 1,047,404 523,702 261,851 785,554 392,777 1,178,332 589,166 294,583 883,750 441,875 1,325,626 662,813 1,988,440 994,220 497,110 248,555 745,666 372,833 1,118,500 559,250 279,625 838,876 419,438 209,719 629,158 314,579 943,738 471,869 1,415,608 707,804 353,902 176,951 530,854 265,427 796,282 398,141 1,194,424 597,212 298,606 149,303 447,910 223,955 671,866 335,933 1,007,800 503,900 251,950 125,975 377,926 188,963 566,890 283,445

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