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Atlas › Integer Profiles › Node 1,784,412

1,784,412

22 × 32 × 7 × 73 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 73 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 5,279,456
Proper Divisor Sum 3,495,044
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1784401 ← → #1784429

Radix Representation

Decimal 1784412
Binary 110110011101001011100 (21 bits)
Octal 0o6635134
Hexadecimal 0x1B3A5C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 97 126 146 194 219 252 291 292 388 438 511 582 657 679 873 876 1,022 1,164 1,314 1,358 1,533 1,746 2,037 2,044 2,628 2,716 3,066 3,492 4,074 4,599 6,111 6,132 7,081 8,148 9,198 12,222 14,162 18,396 21,243 24,444 28,324 42,486 49,567

Collatz Trajectory (65 steps to reach 1)

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

1,784,412 892,206 446,103 1,338,310 669,155 2,007,466 1,003,733 3,011,200 1,505,600 752,800 376,400 188,200 94,100 47,050 23,525 70,576 35,288 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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