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Atlas › Integer Profiles › Node 24,384,920

24,384,920

23 × 5 × 7 × 73 × 1193
Abundant Even Composite

24,384,920 factors as 2^3 × 5 × 7 × 73 × 1193. Its 64 positive divisors give a proper-divisor sum of 39,231,400, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 73 × 1193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 63,616,320
Proper Divisor Sum 39,231,400
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #24384917 ← → #24384947

Radix Representation

Decimal 24384920
Binary 1011101000001010110011000 (25 bits)
Octal 0o135012630
Hexadecimal 0x1741598

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1,022 1,193 1,460 2,044 2,386 2,555 2,920 4,088 4,772 5,110 5,965 8,351 9,544 10,220 11,930 16,702 20,440 23,860 33,404 41,755 47,720 66,808 83,510 87,089 167,020 174,178 334,040 348,356 435,445 609,623 696,712 870,890 1,219,246 1,741,780 2,438,492 3,048,115 3,483,560

Collatz Trajectory (84 steps to reach 1)

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

24,384,920 12,192,460 6,096,230 3,048,115 9,144,346 4,572,173 13,716,520 6,858,260 3,429,130 1,714,565 5,143,696 2,571,848 1,285,924 642,962 321,481 964,444 482,222 241,111 723,334 361,667 1,085,002 542,501 1,627,504 813,752 406,876 203,438 101,719 305,158 152,579 457,738 228,869 686,608 343,304 171,652 85,826 42,913 128,740 64,370 32,185 96,556 48,278 24,139 72,418 36,209 108,628 54,314 27,157 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300

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