407,944

2³ × 50993

407,944 factors as 2^3 × 50993. Its 8 positive divisors give a proper-divisor sum of 356,966, so this integer is deficient. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 50993

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 764,910

Proper Divisor Sum 356,966

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #407923 ← → #407947

Radix Representation

Decimal	407944
Binary	1100011100110001000 (19 bits)
Octal	0o1434610
Hexadecimal	0x63988

Divisor Catalog (8)

1 2 4 8 50,993 101,986 203,972 407,944

Collatz Trajectory (86 steps to reach 1)

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

407,944 203,972 101,986 50,993 152,980 76,490 38,245 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433

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