7,476,650

2 × 5² × 149533

Starting at 7,476,650, the Collatz iteration reaches 1 after 173 steps. The first transition is 3738325; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 149533

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,906,662

Proper Divisor Sum 6,430,012

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7476643 ← → #7476653

Radix Representation

Decimal	7476650
Binary	11100100001010110101010 (23 bits)
Octal	0o34412652
Hexadecimal	0x7215AA

Divisor Catalog (12)

1 2 5 10 25 50 149,533 299,066 747,665 1,495,330 3,738,325 7,476,650

Collatz Trajectory (173 steps to reach 1)

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

7,476,650 3,738,325 11,214,976 5,607,488 2,803,744 1,401,872 700,936 350,468 175,234 87,617 262,852 131,426 65,713 197,140 98,570 49,285 147,856 73,928 36,964 18,482 9,241 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

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