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Atlas › Integer Profiles › Node 5,409,747

5,409,747

34 × 72 × 29 × 47
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7^2 × 29 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,931,680
Proper Divisor Sum 4,521,933
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5409721 ← → #5409751

Radix Representation

Decimal 5409747
Binary 10100101000101111010011 (23 bits)
Octal 0o24505723
Hexadecimal 0x528BD3

Divisor Catalog (60)

1 3 7 9 21 27 29 47 49 63 81 87 141 147 189 203 261 329 423 441 567 609 783 987 1,269 1,323 1,363 1,421 1,827 2,303 2,349 2,961 3,807 3,969 4,089 4,263 5,481 6,909 8,883 9,541 12,267 12,789 16,443 20,727 26,649 28,623 36,801 38,367 62,181 66,787 85,869 110,403 115,101 186,543 200,361 257,607 601,083 772,821 1,803,249 5,409,747

Collatz Trajectory (175 steps to reach 1)

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

5,409,747 16,229,242 8,114,621 24,343,864 12,171,932 6,085,966 3,042,983 9,128,950 4,564,475 13,693,426 6,846,713 20,540,140 10,270,070 5,135,035 15,405,106 7,702,553 23,107,660 11,553,830 5,776,915 17,330,746 8,665,373 25,996,120 12,998,060 6,499,030 3,249,515 9,748,546 4,874,273 14,622,820 7,311,410 3,655,705 10,967,116 5,483,558 2,741,779 8,225,338 4,112,669 12,338,008 6,169,004 3,084,502 1,542,251 4,626,754 2,313,377 6,940,132 3,470,066 1,735,033 5,205,100 2,602,550 1,301,275 3,903,826 1,951,913 5,855,740 2,927,870 1,463,935 4,391,806 2,195,903 6,587,710 3,293,855 9,881,566 4,940,783 14,822,350 7,411,175

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