404,168

2³ × 19 × 2659

404,168 factors as 2^3 × 19 × 2659. Its 16 positive divisors give a proper-divisor sum of 393,832, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 2659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 798,000

Proper Divisor Sum 393,832

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #404167 ← → #404177

Radix Representation

Decimal	404168
Binary	1100010101011001000 (19 bits)
Octal	0o1425310
Hexadecimal	0x62AC8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 2,659 5,318 10,636 21,272 50,521 101,042 202,084 404,168

Collatz Trajectory (99 steps to reach 1)

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

404,168 202,084 101,042 50,521 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431

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