λ
Prime Ledger

405,220

22 × 5 × 20261
Abundant Even Composite

405,220 has the prime decomposition 2^2 × 5 × 20261. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 20261
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 851,004
Proper Divisor Sum 445,784
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #405211 ← → #405221

Radix Representation

Decimal 405220
Binary 1100010111011100100 (19 bits)
Octal 0o1427344
Hexadecimal 0x62EE4

Divisor Catalog (12)

1 2 4 5 10 20 20,261 40,522 81,044 101,305 202,610 405,220

Collatz Trajectory (112 steps to reach 1)

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

405,220 202,610 101,305 303,916 151,958 75,979 227,938 113,969 341,908 170,954 85,477 256,432 128,216 64,108 32,054 16,027 48,082 24,041 72,124 36,062 18,031 54,094 27,047 81,142 40,571 121,714 60,857 182,572 91,286 45,643 136,930 68,465 205,396 102,698 51,349 154,048 77,024 38,512 19,256 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430

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