134,764

2² × 7 × 4813

134,764 is even and not a perfect square. Its factorization is 2^2 × 7 × 4813 and its 12 divisors sum to 269,584.

Prime Factor Structure

Factorization String 2^2 × 7 × 4813

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 269,584

Proper Divisor Sum 134,820

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #134753 ← → #134777

Radix Representation

Decimal	134764
Binary	100000111001101100 (18 bits)
Octal	0o407154
Hexadecimal	0x20E6C

Divisor Catalog (12)

1 2 4 7 14 28 4,813 9,626 19,252 33,691 67,382 134,764

Collatz Trajectory (69 steps to reach 1)

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

134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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