136,004

2² × 11² × 281

136,004 has digital root 5. The neighboring primes are 135979 and 136013; its proper-divisor sum differs from the starting integer by -9,466.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 262,542

Proper Divisor Sum 126,538

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #135979 ← → #136013

Radix Representation

Decimal	136004
Binary	100001001101000100 (18 bits)
Octal	0o411504
Hexadecimal	0x21344

Divisor Catalog (18)

1 2 4 11 22 44 121 242 281 484 562 1,124 3,091 6,182 12,364 34,001 68,002 136,004

Collatz Trajectory (206 steps to reach 1)

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

136,004 68,002 34,001 102,004 51,002 25,501 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102

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