λ
Modular Archive

636,240

24 × 3 × 5 × 11 × 241
Abundant Even Composite

The decimal integer 636,240 is 10011011010101010000 in binary (20 bits), 2332520 in octal and 9B550 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 2,160,576
Proper Divisor Sum 1,524,336
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #636217 ← → #636241

Radix Representation

Decimal 636240
Binary 10011011010101010000 (20 bits)
Octal 0o2332520
Hexadecimal 0x9B550

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 241 264 330 440 482 528 660 723 880 964 1,205 1,320 1,446 1,928 2,410 2,640 2,651 2,892 3,615 3,856 4,820 5,302 5,784 7,230 7,953 9,640 10,604 11,568

Collatz Trajectory (97 steps to reach 1)

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

636,240 318,120 159,060 79,530 39,765 119,296 59,648 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102

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