λ
Modular Archive

188,181

32 × 7 × 29 × 103
Deficient Odd Composite

The decimal integer 188,181 is 101101111100010101 in binary (18 bits), 557425 in octal and 2DF15 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 7 × 29 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 324,480
Proper Divisor Sum 136,299
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #188179 ← → #188189

Radix Representation

Decimal 188181
Binary 101101111100010101 (18 bits)
Octal 0o557425
Hexadecimal 0x2DF15

Divisor Catalog (24)

1 3 7 9 21 29 63 87 103 203 261 309 609 721 927 1,827 2,163 2,987 6,489 8,961 20,909 26,883 62,727 188,181

Collatz Trajectory (54 steps to reach 1)

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

188,181 564,544 282,272 141,136 70,568 35,284 17,642 8,821 26,464 13,232 6,616 3,308 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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