λ
Integer Codex

189,088

25 × 19 × 311
Abundant Even Composite

For 189,088, the 24 positive divisors have a total of 393,120. Removing 189,088 leaves 204,032, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 19 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 393,120
Proper Divisor Sum 204,032
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #189067 ← → #189127

Radix Representation

Decimal 189088
Binary 101110001010100000 (18 bits)
Octal 0o561240
Hexadecimal 0x2E2A0

Divisor Catalog (24)

1 2 4 8 16 19 32 38 76 152 304 311 608 622 1,244 2,488 4,976 5,909 9,952 11,818 23,636 47,272 94,544 189,088

Collatz Trajectory (28 steps to reach 1)

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

189,088 94,544 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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