7,205,860

2² × 5 × 360293

Starting at 7,205,860, the Collatz iteration reaches 1 after 235 steps. The first transition is 3602930; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 360293

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,132,348

Proper Divisor Sum 7,926,488

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7205851 ← → #7205893

Radix Representation

Decimal	7205860
Binary	11011011111001111100100 (23 bits)
Octal	0o33371744
Hexadecimal	0x6DF3E4

Divisor Catalog (12)

1 2 4 5 10 20 360,293 720,586 1,441,172 1,801,465 3,602,930 7,205,860

Collatz Trajectory (235 steps to reach 1)

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

7,205,860 3,602,930 1,801,465 5,404,396 2,702,198 1,351,099 4,053,298 2,026,649 6,079,948 3,039,974 1,519,987 4,559,962 2,279,981 6,839,944 3,419,972 1,709,986 854,993 2,564,980 1,282,490 641,245 1,923,736 961,868 480,934 240,467 721,402 360,701 1,082,104 541,052 270,526 135,263 405,790 202,895 608,686 304,343 913,030 456,515 1,369,546 684,773 2,054,320 1,027,160 513,580 256,790 128,395 385,186 192,593 577,780 288,890 144,445 433,336 216,668 108,334 54,167 162,502 81,251 243,754 121,877 365,632 182,816 91,408 45,704

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