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Atlas › Integer Profiles › Node 7,384,400

7,384,400

24 × 52 × 18461
Abundant Even Composite

7,384,400 factors as 2^4 × 5^2 × 18461. Its 30 positive divisors give a proper-divisor sum of 10,357,582, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 18461
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 17,741,982
Proper Divisor Sum 10,357,582
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7384397 ← → #7384411

Radix Representation

Decimal 7384400
Binary 11100001010110101010000 (23 bits)
Octal 0o34126520
Hexadecimal 0x70AD50

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 18,461 36,922 73,844 92,305 147,688 184,610 295,376 369,220 461,525 738,440 923,050 1,476,880 1,846,100 3,692,200 7,384,400

Collatz Trajectory (129 steps to reach 1)

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

7,384,400 3,692,200 1,846,100 923,050 461,525 1,384,576 692,288 346,144 173,072 86,536 43,268 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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