λ
Integer Codex

7,136,190

2 × 32 × 5 × 37 × 2143
Abundant Even Composite

For 7,136,190, the 48 positive divisors have a total of 19,064,448. Removing 7,136,190 leaves 11,928,258, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 2143
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,064,448
Proper Divisor Sum 11,928,258
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7136179 ← → #7136201

Radix Representation

Decimal 7136190
Binary 11011001110001110111110 (23 bits)
Octal 0o33161676
Hexadecimal 0x6CE3BE

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (279 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.

7,136,190 3,568,095 10,704,286 5,352,143 16,056,430

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