7,202,242

2 × 43 × 83 × 1009

Starting at 7,202,242, the Collatz iteration reaches 1 after 204 steps. The first transition is 3601121; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 83 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,198,880

Proper Divisor Sum 3,996,638

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7202219 ← → #7202269

Radix Representation

Decimal	7202242
Binary	11011011110010111000010 (23 bits)
Octal	0o33362702
Hexadecimal	0x6DE5C2

Divisor Catalog (16)

1 2 43 83 86 166 1,009 2,018 3,569 7,138 43,387 83,747 86,774 167,494 3,601,121 7,202,242

Collatz Trajectory (204 steps to reach 1)

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

7,202,242 3,601,121 10,803,364 5,401,682 2,700,841 8,102,524 4,051,262 2,025,631 6,076,894 3,038,447 9,115,342 4,557,671 13,673,014 6,836,507 20,509,522 10,254,761 30,764,284 15,382,142 7,691,071 23,073,214 11,536,607 34,609,822 17,304,911 51,914,734 25,957,367 77,872,102 38,936,051 116,808,154 58,404,077 175,212,232 87,606,116 43,803,058 21,901,529 65,704,588 32,852,294 16,426,147 49,278,442 24,639,221 73,917,664 36,958,832 18,479,416 9,239,708 4,619,854 2,309,927 6,929,782 3,464,891 10,394,674 5,197,337 15,592,012 7,796,006 3,898,003 11,694,010 5,847,005 17,541,016 8,770,508 4,385,254 2,192,627 6,577,882 3,288,941 9,866,824

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