λ
Prime Ledger

409,250

2 × 53 × 1637
Deficient Even Composite

409,250 has the prime decomposition 2 × 5^3 × 1637. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 1637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 766,584
Proper Divisor Sum 357,334
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #409237 ← → #409259

Radix Representation

Decimal 409250
Binary 1100011111010100010 (19 bits)
Octal 0o1437242
Hexadecimal 0x63EA2

Divisor Catalog (16)

1 2 5 10 25 50 125 250 1,637 3,274 8,185 16,370 40,925 81,850 204,625 409,250

Collatz Trajectory (143 steps to reach 1)

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

409,250 204,625 613,876 306,938 153,469 460,408 230,204 115,102 57,551 172,654 86,327 258,982 129,491 388,474 194,237 582,712 291,356 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578

More profiles

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