7,202,069

7² × 103 × 1427

Starting at 7,202,069, the Collatz iteration reaches 1 after 160 steps. The first transition is 21606208; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 103 × 1427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,465,184

Proper Divisor Sum 1,263,115

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7202057 ← → #7202077

Radix Representation

Decimal	7202069
Binary	11011011110010100010101 (23 bits)
Octal	0o33362425
Hexadecimal	0x6DE515

Divisor Catalog (12)

1 7 49 103 721 1,427 5,047 9,989 69,923 146,981 1,028,867 7,202,069

Collatz Trajectory (160 steps to reach 1)

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

7,202,069 21,606,208 10,803,104 5,401,552 2,700,776 1,350,388 675,194 337,597 1,012,792 506,396 253,198 126,599 379,798 189,899 569,698 284,849 854,548 427,274 213,637 640,912 320,456 160,228 80,114 40,057 120,172 60,086 30,043 90,130 45,065 135,196 67,598 33,799 101,398 50,699 152,098 76,049 228,148 114,074 57,037 171,112 85,556 42,778 21,389 64,168 32,084 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214

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