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Atlas › Integer Profiles › Node 933,264

933,264

24 × 32 × 6481
Abundant Even Composite

933,264 factors as 2^4 × 3^2 × 6481. Its 30 positive divisors give a proper-divisor sum of 1,678,982, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 6481
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,612,246
Proper Divisor Sum 1,678,982
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #933263 ← → #933269

Radix Representation

Decimal 933264
Binary 11100011110110010000 (20 bits)
Octal 0o3436620
Hexadecimal 0xE3D90

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6,481 12,962 19,443 25,924 38,886 51,848 58,329 77,772 103,696 116,658 155,544 233,316 311,088 466,632 933,264

Collatz Trajectory (51 steps to reach 1)

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

933,264 466,632 233,316 116,658 58,329 174,988 87,494 43,747 131,242 65,621 196,864 98,432 49,216 24,608 12,304 6,152 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 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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