807,644

2² × 201911

807,644 factors as 2^2 × 201911. Its 6 positive divisors give a proper-divisor sum of 605,740, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^2 × 201911

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,413,384

Proper Divisor Sum 605,740

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #807637 ← → #807647

Radix Representation

Decimal	807644
Binary	11000101001011011100 (20 bits)
Octal	0o3051334
Hexadecimal	0xC52DC

Divisor Catalog (6)

1 2 4 201,911 403,822 807,644

Collatz Trajectory (69 steps to reach 1)

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

807,644 403,822 201,911 605,734 302,867 908,602 454,301 1,362,904 681,452 340,726 170,363 511,090 255,545 766,636 383,318 191,659 574,978 287,489 862,468 431,234 215,617 646,852 323,426 161,713 485,140 242,570 121,285 363,856 181,928 90,964 45,482 22,741 68,224 34,112 17,056 8,528 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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