746,150

2 × 5² × 14923

746,150 factors as 2 × 5^2 × 14923. Its 12 positive divisors give a proper-divisor sum of 641,782, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 14923

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,387,932

Proper Divisor Sum 641,782

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #746129 ← → #746153

Radix Representation

Decimal	746150
Binary	10110110001010100110 (20 bits)
Octal	0o2661246
Hexadecimal	0xB62A6

Divisor Catalog (12)

1 2 5 10 25 50 14,923 29,846 74,615 149,230 373,075 746,150

Collatz Trajectory (255 steps to reach 1)

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

746,150 373,075 1,119,226 559,613 1,678,840 839,420 419,710 209,855 629,566 314,783 944,350 472,175 1,416,526 708,263 2,124,790 1,062,395 3,187,186 1,593,593 4,780,780 2,390,390 1,195,195 3,585,586 1,792,793 5,378,380 2,689,190 1,344,595 4,033,786 2,016,893 6,050,680 3,025,340 1,512,670 756,335 2,269,006 1,134,503 3,403,510 1,701,755 5,105,266 2,552,633 7,657,900 3,828,950 1,914,475 5,743,426 2,871,713 8,615,140 4,307,570 2,153,785 6,461,356 3,230,678 1,615,339 4,846,018 2,423,009 7,269,028 3,634,514 1,817,257 5,451,772 2,725,886 1,362,943 4,088,830 2,044,415 6,133,246

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