λ
Modular Archive

138,764

22 × 113 × 307
Deficient Even Composite

The decimal integer 138,764 is 100001111000001100 in binary (18 bits), 417014 in octal and 21E0C in hexadecimal. Its digit sum is 29.

Prime Factor Structure

Factorization String 2^2 × 113 × 307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 245,784
Proper Divisor Sum 107,020
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #138763 ← → #138793

Radix Representation

Decimal 138764
Binary 100001111000001100 (18 bits)
Octal 0o417014
Hexadecimal 0x21E0C

Divisor Catalog (12)

1 2 4 113 226 307 452 614 1,228 34,691 69,382 138,764

Collatz Trajectory (144 steps to reach 1)

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

138,764 69,382 34,691 104,074 52,037 156,112 78,056 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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