7,457,525

5² × 199 × 1499

Starting at 7,457,525, the Collatz iteration reaches 1 after 173 steps. The first transition is 22372576; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 199 × 1499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,300,000

Proper Divisor Sum 1,842,475

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7457503 ← → #7457561

Radix Representation

Decimal	7457525
Binary	11100011100101011110101 (23 bits)
Octal	0o34345365
Hexadecimal	0x71CAF5

Divisor Catalog (12)

1 5 25 199 995 1,499 4,975 7,495 37,475 298,301 1,491,505 7,457,525

Collatz Trajectory (173 steps to reach 1)

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

7,457,525 22,372,576 11,186,288 5,593,144 2,796,572 1,398,286 699,143 2,097,430 1,048,715 3,146,146 1,573,073 4,719,220 2,359,610 1,179,805 3,539,416 1,769,708 884,854 442,427 1,327,282 663,641 1,990,924 995,462 497,731 1,493,194 746,597 2,239,792 1,119,896 559,948 279,974 139,987 419,962 209,981 629,944 314,972 157,486 78,743 236,230 118,115 354,346 177,173 531,520 265,760 132,880 66,440 33,220 16,610 8,305 24,916 12,458 6,229 18,688 9,344 4,672 2,336 1,168 584 292 146 73 220

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