408,550

2 × 5² × 8171

408,550 factors as 2 × 5^2 × 8171. Its 12 positive divisors give a proper-divisor sum of 351,446, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 8171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 759,996

Proper Divisor Sum 351,446

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #408539 ← → #408553

Radix Representation

Decimal	408550
Binary	1100011101111100110 (19 bits)
Octal	0o1435746
Hexadecimal	0x63BE6

Divisor Catalog (12)

1 2 5 10 25 50 8,171 16,342 40,855 81,710 204,275 408,550

Collatz Trajectory (161 steps to reach 1)

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

408,550 204,275 612,826 306,413 919,240 459,620 229,810 114,905 344,716 172,358 86,179 258,538 129,269 387,808 193,904 96,952 48,476 24,238 12,119 36,358 18,179 54,538 27,269 81,808 40,904 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594

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