λ
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368,208

24 × 32 × 2557
Abundant Even Composite

368,208 factors as 2^4 × 3^2 × 2557. Its 30 positive divisors give a proper-divisor sum of 662,666, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 2557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 1,030,874
Proper Divisor Sum 662,666
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #368197 ← → #368227

Radix Representation

Decimal 368208
Binary 1011001111001010000 (19 bits)
Octal 0o1317120
Hexadecimal 0x59E50

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2,557 5,114 7,671 10,228 15,342 20,456 23,013 30,684 40,912 46,026 61,368 92,052 122,736 184,104 368,208

Collatz Trajectory (135 steps to reach 1)

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

368,208 184,104 92,052 46,026 23,013 69,040 34,520 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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