7,353,087

3 × 7² × 50021

Starting at 7,353,087, the Collatz iteration reaches 1 after 116 steps. The first transition is 22059262; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 50021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,405,016

Proper Divisor Sum 4,051,929

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7353079 ← → #7353089

Radix Representation

Decimal	7353087
Binary	11100000011001011111111 (23 bits)
Octal	0o34031377
Hexadecimal	0x7032FF

Divisor Catalog (12)

1 3 7 21 49 147 50,021 150,063 350,147 1,050,441 2,451,029 7,353,087

Collatz Trajectory (116 steps to reach 1)

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

7,353,087 22,059,262 11,029,631 33,088,894 16,544,447 49,633,342 24,816,671 74,450,014 37,225,007 111,675,022 55,837,511 167,512,534 83,756,267 251,268,802 125,634,401 376,903,204 188,451,602 94,225,801 282,677,404 141,338,702 70,669,351 212,008,054 106,004,027 318,012,082 159,006,041 477,018,124 238,509,062 119,254,531 357,763,594 178,881,797 536,645,392 268,322,696 134,161,348 67,080,674 33,540,337 100,621,012 50,310,506 25,155,253 75,465,760 37,732,880 18,866,440 9,433,220 4,716,610 2,358,305 7,074,916 3,537,458 1,768,729 5,306,188 2,653,094 1,326,547 3,979,642 1,989,821 5,969,464 2,984,732 1,492,366 746,183 2,238,550 1,119,275 3,357,826 1,678,913

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