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Atlas › Integer Profiles › Node 5,774,784

5,774,784

26 × 3 × 19 × 1583
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 19 × 1583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 16,093,440
Proper Divisor Sum 10,318,656
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5774779 ← → #5774819

Radix Representation

Decimal 5774784
Binary 10110000001110111000000 (23 bits)
Octal 0o26016700
Hexadecimal 0x581DC0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1,216 1,583 1,824 3,166 3,648 4,749 6,332 9,498 12,664 18,996 25,328 30,077 37,992 50,656 60,154 75,984 90,231 101,312 120,308 151,968 180,462 240,616 303,936 360,924 481,232 721,848 962,464 1,443,696 1,924,928 2,887,392 5,774,784

Collatz Trajectory (69 steps to reach 1)

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

5,774,784 2,887,392 1,443,696 721,848 360,924 180,462 90,231 270,694 135,347 406,042 203,021 609,064 304,532 152,266 76,133 228,400 114,200 57,100 28,550 14,275 42,826 21,413 64,240 32,120 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024

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