7,197,025

5² × 11 × 26171

Starting at 7,197,025, the Collatz iteration reaches 1 after 173 steps. The first transition is 21591076; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 26171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,735,984

Proper Divisor Sum 2,538,959

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7197023 ← → #7197031

Radix Representation

Decimal	7197025
Binary	11011011101000101100001 (23 bits)
Octal	0o33350541
Hexadecimal	0x6DD161

Divisor Catalog (12)

1 5 11 25 55 275 26,171 130,855 287,881 654,275 1,439,405 7,197,025

Collatz Trajectory (173 steps to reach 1)

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

7,197,025 21,591,076 10,795,538 5,397,769 16,193,308 8,096,654 4,048,327 12,144,982 6,072,491 18,217,474 9,108,737 27,326,212 13,663,106 6,831,553 20,494,660 10,247,330 5,123,665 15,370,996 7,685,498 3,842,749 11,528,248 5,764,124 2,882,062 1,441,031 4,323,094 2,161,547 6,484,642 3,242,321 9,726,964 4,863,482 2,431,741 7,295,224 3,647,612 1,823,806 911,903 2,735,710 1,367,855 4,103,566 2,051,783 6,155,350 3,077,675 9,233,026 4,616,513 13,849,540 6,924,770 3,462,385 10,387,156 5,193,578 2,596,789 7,790,368 3,895,184 1,947,592 973,796 486,898 243,449 730,348 365,174 182,587 547,762 273,881

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