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800,451

32 × 19 × 31 × 151
Deficient Odd Composite

800,451 factors as 3^2 × 19 × 31 × 151. Its 24 positive divisors give a proper-divisor sum of 464,189, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 31 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,264,640
Proper Divisor Sum 464,189
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #800447 ← → #800473

Radix Representation

Decimal 800451
Binary 11000011011011000011 (20 bits)
Octal 0o3033303
Hexadecimal 0xC36C3

Divisor Catalog (24)

1 3 9 19 31 57 93 151 171 279 453 589 1,359 1,767 2,869 4,681 5,301 8,607 14,043 25,821 42,129 88,939 266,817 800,451

Collatz Trajectory (144 steps to reach 1)

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

800,451 2,401,354 1,200,677 3,602,032 1,801,016 900,508 450,254 225,127 675,382 337,691 1,013,074 506,537 1,519,612 759,806 379,903 1,139,710 569,855 1,709,566 854,783 2,564,350 1,282,175 3,846,526 1,923,263 5,769,790 2,884,895 8,654,686 4,327,343 12,982,030 6,491,015 19,473,046 9,736,523 29,209,570 14,604,785 43,814,356 21,907,178 10,953,589 32,860,768 16,430,384 8,215,192 4,107,596 2,053,798 1,026,899 3,080,698 1,540,349 4,621,048 2,310,524 1,155,262 577,631 1,732,894 866,447 2,599,342 1,299,671 3,899,014 1,949,507 5,848,522 2,924,261 8,772,784 4,386,392 2,193,196 1,096,598

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