λ
Modular Archive

388,020

22 × 3 × 5 × 29 × 223
Abundant Even Composite

The decimal integer 388,020 is 1011110101110110100 in binary (19 bits), 1365664 in octal and 5EBB4 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,128,960
Proper Divisor Sum 740,940
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #388009 ← → #388051

Radix Representation

Decimal 388020
Binary 1011110101110110100 (19 bits)
Octal 0o1365664
Hexadecimal 0x5EBB4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 223 290 348 435 446 580 669 870 892 1,115 1,338 1,740 2,230 2,676 3,345 4,460 6,467 6,690 12,934 13,380 19,401 25,868 32,335 38,802 64,670 77,604 97,005 129,340 194,010 388,020

Collatz Trajectory (73 steps to reach 1)

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

388,020 194,010 97,005 291,016 145,508 72,754 36,377 109,132 54,566 27,283 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70

More profiles

← Previous Integer #388,019 Browse Full Index Next Integer #388,021 →