λ
Integer Codex

360,918

2 × 32 × 20051
Abundant Even Composite

For 360,918, the 12 positive divisors have a total of 782,028. Removing 360,918 leaves 421,110, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 20051
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 782,028
Proper Divisor Sum 421,110
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #360907 ← → #360947

Radix Representation

Decimal 360918
Binary 1011000000111010110 (19 bits)
Octal 0o1300726
Hexadecimal 0x581D6

Divisor Catalog (12)

1 2 3 6 9 18 20,051 40,102 60,153 120,306 180,459 360,918

Collatz Trajectory (73 steps to reach 1)

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

360,918 180,459 541,378 270,689 812,068 406,034 203,017 609,052 304,526 152,263 456,790 228,395 685,186 342,593 1,027,780 513,890 256,945 770,836 385,418 192,709 578,128 289,064 144,532 72,266 36,133 108,400 54,200 27,100 13,550 6,775 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

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