λ
Prime Ledger

1,422,135

32 × 5 × 11 × 132 × 17
Abundant Odd Composite

1,422,135 has the prime decomposition 3^2 × 5 × 11 × 13^2 × 17. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 13^2 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 3,083,184
Proper Divisor Sum 1,661,049
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1422133 ← → #1422163

Radix Representation

Decimal 1422135
Binary 101011011001100110111 (21 bits)
Octal 0o5331467
Hexadecimal 0x15B337

Divisor Catalog (60 of 72)

Collatz Trajectory (150 steps to reach 1)

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

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