λ
Integer Codex

438,552

23 × 32 × 6091
Abundant Even Composite

For 438,552, the 24 positive divisors have a total of 1,187,940. Removing 438,552 leaves 749,388, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 6091
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,187,940
Proper Divisor Sum 749,388
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #438551 ← → #438569

Radix Representation

Decimal 438552
Binary 1101011000100011000 (19 bits)
Octal 0o1530430
Hexadecimal 0x6B118

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 6,091 12,182 18,273 24,364 36,546 48,728 54,819 73,092 109,638 146,184 219,276 438,552

Collatz Trajectory (63 steps to reach 1)

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

438,552 219,276 109,638 54,819 164,458 82,229 246,688 123,344 61,672 30,836 15,418 7,709 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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