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Atlas › Integer Profiles › Node 7,489,152

7,489,152

27 × 33 × 11 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^3 × 11 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 24,235,200
Proper Divisor Sum 16,746,048
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7489127 ← → #7489171

Radix Representation

Decimal 7489152
Binary 11100100100011010000000 (23 bits)
Octal 0o34443200
Hexadecimal 0x724680

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 197 198 216 264 288 297 352 384 394 396 432 528 576 591 594 704 788 792 864 1,056 1,152 1,182 1,188 1,408 1,576 1,584 1,728 1,773

Collatz Trajectory (129 steps to reach 1)

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

7,489,152 3,744,576 1,872,288 936,144 468,072 234,036 117,018 58,509 175,528 87,764 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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