λ
Harmonic Matrix

775,250

2 × 53 × 7 × 443
Abundant Even Composite

775,250 has digital root 8. The neighboring primes are 775241 and 775259; its proper-divisor sum differs from the starting integer by 111,836.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,662,336
Proper Divisor Sum 887,086
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #775241 ← → #775259

Radix Representation

Decimal 775250
Binary 10111101010001010010 (20 bits)
Octal 0o2752122
Hexadecimal 0xBD452

Divisor Catalog (32)

1 2 5 7 10 14 25 35 50 70 125 175 250 350 443 875 886 1,750 2,215 3,101 4,430 6,202 11,075 15,505 22,150 31,010 55,375 77,525 110,750 155,050 387,625 775,250

Collatz Trajectory (162 steps to reach 1)

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

775,250 387,625 1,162,876 581,438 290,719 872,158 436,079 1,308,238 654,119 1,962,358 981,179 2,943,538 1,471,769 4,415,308 2,207,654 1,103,827 3,311,482 1,655,741 4,967,224 2,483,612 1,241,806 620,903 1,862,710 931,355 2,794,066 1,397,033 4,191,100 2,095,550 1,047,775 3,143,326 1,571,663 4,714,990 2,357,495 7,072,486 3,536,243 10,608,730 5,304,365 15,913,096 7,956,548 3,978,274 1,989,137 5,967,412 2,983,706 1,491,853 4,475,560 2,237,780 1,118,890 559,445 1,678,336 839,168 419,584 209,792 104,896 52,448 26,224 13,112 6,556 3,278 1,639 4,918

More profiles

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