λ
Sigma Notebook

380,320

25 × 5 × 2377
Abundant Even Composite

380,320 is even and not a perfect square. Its factorization is 2^5 × 5 × 2377 and its 24 divisors sum to 898,884.

Prime Factor Structure

Factorization String 2^5 × 5 × 2377
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 898,884
Proper Divisor Sum 518,564
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #380311 ← → #380327

Radix Representation

Decimal 380320
Binary 1011100110110100000 (19 bits)
Octal 0o1346640
Hexadecimal 0x5CDA0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 2,377 4,754 9,508 11,885 19,016 23,770 38,032 47,540 76,064 95,080 190,160 380,320

Collatz Trajectory (55 steps to reach 1)

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

380,320 190,160 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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