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Atlas › Integer Profiles › Node 63,201,008

63,201,008

24 × 13 × 41 × 7411
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 13 × 41 × 7411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 135,105,936
Proper Divisor Sum 71,904,928
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #63201001 ← → #63201059

Radix Representation

Decimal 63201008
Binary 11110001000101111011110000 (26 bits)
Octal 0o361057360
Hexadecimal 0x3C45EF0

Divisor Catalog (40)

1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1,066 2,132 4,264 7,411 8,528 14,822 29,644 59,288 96,343 118,576 192,686 303,851 385,372 607,702 770,744 1,215,404 1,541,488 2,430,808 3,950,063 4,861,616 7,900,126 15,800,252 31,600,504 63,201,008

Collatz Trajectory (264 steps to reach 1)

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

63,201,008 31,600,504 15,800,252 7,900,126 3,950,063 11,850,190 5,925,095 17,775,286 8,887,643 26,662,930 13,331,465 39,994,396 19,997,198 9,998,599 29,995,798 14,997,899 44,993,698 22,496,849 67,490,548 33,745,274 16,872,637 50,617,912 25,308,956 12,654,478 6,327,239 18,981,718 9,490,859 28,472,578 14,236,289 42,708,868 21,354,434 10,677,217 32,031,652 16,015,826 8,007,913 24,023,740 12,011,870 6,005,935 18,017,806 9,008,903 27,026,710 13,513,355 40,540,066 20,270,033 60,810,100 30,405,050 15,202,525 45,607,576 22,803,788 11,401,894 5,700,947 17,102,842 8,551,421 25,654,264 12,827,132 6,413,566 3,206,783 9,620,350 4,810,175 14,430,526

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