804,428

2² × 201107

804,428 has digital root 8. The neighboring primes are 804409 and 804443; its proper-divisor sum differs from the starting integer by -201,100.

Prime Factor Structure

Factorization String 2^2 × 201107

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,407,756

Proper Divisor Sum 603,328

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #804409 ← → #804443

Radix Representation

Decimal	804428
Binary	11000100011001001100 (20 bits)
Octal	0o3043114
Hexadecimal	0xC464C

Divisor Catalog (6)

1 2 4 201,107 402,214 804,428

Collatz Trajectory (162 steps to reach 1)

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

804,428 402,214 201,107 603,322 301,661 904,984 452,492 226,246 113,123 339,370 169,685 509,056 254,528 127,264 63,632 31,816 15,908 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142

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