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Atlas › Integer Profiles › Node 3,049,600

3,049,600

27 × 52 × 953
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5^2 × 953
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,541,370
Proper Divisor Sum 4,491,770
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3049597 ← → #3049609

Radix Representation

Decimal 3049600
Binary 1011101000100010000000 (22 bits)
Octal 0o13504200
Hexadecimal 0x2E8880

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 953 1,600 1,906 3,200 3,812 4,765 7,624 9,530 15,248 19,060 23,825 30,496 38,120 47,650 60,992 76,240 95,300 121,984 152,480 190,600 304,960 381,200 609,920 762,400 1,524,800 3,049,600

Collatz Trajectory (151 steps to reach 1)

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

3,049,600 1,524,800 762,400 381,200 190,600 95,300 47,650 23,825 71,476 35,738 17,869 53,608 26,804 13,402 6,701 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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