134,036

2² × 7 × 4787

134,036 factors as 2^2 × 7 × 4787. Its 12 positive divisors give a proper-divisor sum of 134,092, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 4787

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 268,128

Proper Divisor Sum 134,092

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #134033 ← → #134039

Radix Representation

Decimal	134036
Binary	100000101110010100 (18 bits)
Octal	0o405624
Hexadecimal	0x20B94

Divisor Catalog (12)

1 2 4 7 14 28 4,787 9,574 19,148 33,509 67,018 134,036

Collatz Trajectory (162 steps to reach 1)

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

134,036 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 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

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