λ
Modular Archive

382,500

22 × 32 × 54 × 17
Abundant Even Composite

The decimal integer 382,500 is 1011101011000100100 in binary (19 bits), 1353044 in octal and 5D624 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^4 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 1,279,278
Proper Divisor Sum 896,778
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #382493 ← → #382507

Radix Representation

Decimal 382500
Binary 1011101011000100100 (19 bits)
Octal 0o1353044
Hexadecimal 0x5D624

Divisor Catalog (60 of 90)

1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 125 150 153 170 180 204 225 250 255 300 306 340 375 425 450 500 510 612 625 750 765 850 900 1,020 1,125 1,250 1,275 1,500 1,530 1,700 1,875 2,125 2,250

Collatz Trajectory (179 steps to reach 1)

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

382,500 191,250 95,625 286,876 143,438 71,719 215,158 107,579 322,738 161,369 484,108 242,054 121,027 363,082 181,541 544,624 272,312 136,156 68,078 34,039 102,118 51,059 153,178 76,589 229,768 114,884 57,442 28,721 86,164 43,082 21,541 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566

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