814,732

2² × 149 × 1367

814,732 factors as 2^2 × 149 × 1367. Its 12 positive divisors give a proper-divisor sum of 621,668, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 149 × 1367

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,436,400

Proper Divisor Sum 621,668

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #814717 ← → #814741

Radix Representation

Decimal	814732
Binary	11000110111010001100 (20 bits)
Octal	0o3067214
Hexadecimal	0xC6E8C

Divisor Catalog (12)

1 2 4 149 298 596 1,367 2,734 5,468 203,683 407,366 814,732

Collatz Trajectory (113 steps to reach 1)

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

814,732 407,366 203,683 611,050 305,525 916,576 458,288 229,144 114,572 57,286 28,643 85,930 42,965 128,896 64,448 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182

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