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Atlas › Integer Profiles › Node 1,784,475

1,784,475

32 × 52 × 7 × 11 × 103
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 11 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 4,023,552
Proper Divisor Sum 2,239,077
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1784459 ← → #1784527

Radix Representation

Decimal 1784475
Binary 110110011101010011011 (21 bits)
Octal 0o6635233
Hexadecimal 0x1B3A9B

Divisor Catalog (60 of 72)

1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 103 105 165 175 225 231 275 309 315 385 495 515 525 693 721 825 927 1,133 1,155 1,545 1,575 1,925 2,163 2,475 2,575 3,399 3,465 3,605 4,635 5,665 5,775 6,489 7,725 7,931 10,197 10,815 16,995 17,325 18,025 23,175 23,793 28,325 32,445

Collatz Trajectory (202 steps to reach 1)

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

1,784,475 5,353,426 2,676,713 8,030,140 4,015,070 2,007,535 6,022,606 3,011,303 9,033,910 4,516,955 13,550,866 6,775,433 20,326,300 10,163,150 5,081,575 15,244,726 7,622,363 22,867,090 11,433,545 34,300,636 17,150,318 8,575,159 25,725,478 12,862,739 38,588,218 19,294,109 57,882,328 28,941,164 14,470,582 7,235,291 21,705,874 10,852,937 32,558,812 16,279,406 8,139,703 24,419,110 12,209,555 36,628,666 18,314,333 54,943,000 27,471,500 13,735,750 6,867,875 20,603,626 10,301,813 30,905,440 15,452,720 7,726,360 3,863,180 1,931,590 965,795 2,897,386 1,448,693 4,346,080 2,173,040 1,086,520 543,260 271,630 135,815 407,446

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