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Ratio Atlas
Atlas › Integer Profiles › Node 9,322,920

9,322,920

23 × 32 × 5 × 19 × 29 × 47
Abundant Even Composite

9,322,920 factors as 2^3 × 3^2 × 5 × 19 × 29 × 47. Its 192 positive divisors give a proper-divisor sum of 24,373,080, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 19 × 29 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 33,696,000
Proper Divisor Sum 24,373,080
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9322883 ← → #9322921

Radix Representation

Decimal 9322920
Binary 100011100100000110101000 (24 bits)
Octal 0o43440650
Hexadecimal 0x8E41A8

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 29 30 36 38 40 45 47 57 58 60 72 76 87 90 94 95 114 116 120 141 145 152 171 174 180 188 190 228 232 235 261 282 285 290 342 348 360 376 380 423 435 456 470 522 551

Collatz Trajectory (57 steps to reach 1)

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

9,322,920 4,661,460 2,330,730 1,165,365 3,496,096 1,748,048 874,024 437,012 218,506 109,253 327,760 163,880 81,940 40,970 20,485 61,456 30,728 15,364 7,682 3,841 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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