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Atlas › Integer Profiles › Node 4,530,336

4,530,336

25 × 3 × 41 × 1151
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 41 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,192,768
Proper Divisor Sum 7,662,432
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4530319 ← → #4530343

Radix Representation

Decimal 4530336
Binary 10001010010000010100000 (23 bits)
Octal 0o21220240
Hexadecimal 0x4520A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1,151 1,312 1,968 2,302 3,453 3,936 4,604 6,906 9,208 13,812 18,416 27,624 36,832 47,191 55,248 94,382 110,496 141,573 188,764 283,146 377,528 566,292 755,056 1,132,584 1,510,112 2,265,168 4,530,336

Collatz Trajectory (105 steps to reach 1)

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

4,530,336 2,265,168 1,132,584 566,292 283,146 141,573 424,720 212,360 106,180 53,090 26,545 79,636 39,818 19,909 59,728 29,864 14,932 7,466 3,733 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 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

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