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Atlas › Integer Profiles › Node 3,530,800

3,530,800

24 × 52 × 7 × 13 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 13 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 10,547,936
Proper Divisor Sum 7,017,136
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3530731 ← → #3530803

Radix Representation

Decimal 3530800
Binary 1101011110000000110000 (22 bits)
Octal 0o15360060
Hexadecimal 0x35E030

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 97 100 104 112 130 140 175 182 194 200 208 260 280 325 350 364 388 400 455 485 520 560 650 679 700 728 776 910 970 1,040 1,261 1,300 1,358 1,400 1,456 1,552 1,820

Collatz Trajectory (66 steps to reach 1)

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

3,530,800 1,765,400 882,700 441,350 220,675 662,026 331,013 993,040 496,520 248,260 124,130 62,065 186,196 93,098 46,549 139,648 69,824 34,912 17,456 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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