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Atlas › Integer Profiles › Node 2,024,960

2,024,960

29 × 5 × 7 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 5 × 7 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 5,597,856
Proper Divisor Sum 3,572,896
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2024933 ← → #2024977

Radix Representation

Decimal 2024960
Binary 111101110011000000000 (21 bits)
Octal 0o7563000
Hexadecimal 0x1EE600

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 128 140 160 224 226 256 280 320 448 452 512 560 565 640 791 896 904 1,120 1,130 1,280 1,582 1,792 1,808 2,240 2,260 2,560 3,164 3,584 3,616 3,955 4,480 4,520 6,328 7,232 7,910 8,960 9,040 12,656 14,464 15,820

Collatz Trajectory (153 steps to reach 1)

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

2,024,960 1,012,480 506,240 253,120 126,560 63,280 31,640 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364

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