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Atlas › Integer Profiles › Node 2,804,048

2,804,048

24 × 132 × 17 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 13^2 × 17 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,331,068
Proper Divisor Sum 3,527,020
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2804041 ← → #2804051

Radix Representation

Decimal 2804048
Binary 1010101100100101010000 (22 bits)
Octal 0o12544520
Hexadecimal 0x2AC950

Divisor Catalog (60)

1 2 4 8 13 16 17 26 34 52 61 68 104 122 136 169 208 221 244 272 338 442 488 676 793 884 976 1,037 1,352 1,586 1,768 2,074 2,704 2,873 3,172 3,536 4,148 5,746 6,344 8,296 10,309 11,492 12,688 13,481 16,592 20,618 22,984 26,962 41,236 45,968 53,924 82,472 107,848 164,944 175,253 215,696 350,506 701,012 1,402,024 2,804,048

Collatz Trajectory (50 steps to reach 1)

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

2,804,048 1,402,024 701,012 350,506 175,253 525,760 262,880 131,440 65,720 32,860 16,430 8,215 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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