814,444

2² × 37 × 5503

814,444 factors as 2^2 × 37 × 5503. Its 12 positive divisors give a proper-divisor sum of 649,620, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 5503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,464,064

Proper Divisor Sum 649,620

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #814423 ← → #814447

Radix Representation

Decimal	814444
Binary	11000110110101101100 (20 bits)
Octal	0o3066554
Hexadecimal	0xC6D6C

Divisor Catalog (12)

1 2 4 37 74 148 5,503 11,006 22,012 203,611 407,222 814,444

Collatz Trajectory (61 steps to reach 1)

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

814,444 407,222 203,611 610,834 305,417 916,252 458,126 229,063 687,190 343,595 1,030,786 515,393 1,546,180 773,090 386,545 1,159,636 579,818 289,909 869,728 434,864 217,432 108,716 54,358 27,179 81,538 40,769 122,308 61,154 30,577 91,732 45,866 22,933 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4

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