135,984

2⁴ × 3 × 2833

135,984 has digital root 3. The neighboring primes are 135979 and 136013; its proper-divisor sum differs from the starting integer by 79,448.

Prime Factor Structure

Factorization String 2^4 × 3 × 2833

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 351,416

Proper Divisor Sum 215,432

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #135979 ← → #136013

Radix Representation

Decimal	135984
Binary	100001001100110000 (18 bits)
Octal	0o411460
Hexadecimal	0x21330

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 2,833 5,666 8,499 11,332 16,998 22,664 33,996 45,328 67,992 135,984

Collatz Trajectory (131 steps to reach 1)

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

135,984 67,992 33,996 16,998 8,499 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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