λ
Integer Codex

418,396

22 × 11 × 37 × 257
Deficient Even Composite

For 418,396, the 24 positive divisors have a total of 823,536. Removing 418,396 leaves 405,140, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 11 × 37 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 823,536
Proper Divisor Sum 405,140
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #418391 ← → #418423

Radix Representation

Decimal 418396
Binary 1100110001001011100 (19 bits)
Octal 0o1461134
Hexadecimal 0x6625C

Divisor Catalog (24)

1 2 4 11 22 37 44 74 148 257 407 514 814 1,028 1,628 2,827 5,654 9,509 11,308 19,018 38,036 104,599 209,198 418,396

Collatz Trajectory (143 steps to reach 1)

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

418,396 209,198 104,599 313,798 156,899 470,698 235,349 706,048 353,024 176,512 88,256 44,128 22,064 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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