λ
Matchaa Zalai

1,188,525

3 × 52 × 13 × 23 × 53
Deficient Odd Composite

1,188,525 factors as 3 × 5^2 × 13 × 23 × 53. Its 48 positive divisors give a proper-divisor sum of 1,061,331, so this integer is deficient. The Collatz stopping time is 98 steps.

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Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 23 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,249,856
Proper Divisor Sum 1,061,331
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1188511 ← → #1188527

Radix Representation

Decimal 1188525
Binary 100100010001010101101 (21 bits)
Octal 0o4421255
Hexadecimal 0x1222AD

Divisor Catalog (5 of 48)

1 3 5 13 15

Collatz Trajectory (98 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

1,188,525 3,565,576 1,782,788 891,394 445,697

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