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Atlas › Integer Profiles › Node 2,084,992

2,084,992

27 × 7 × 13 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 7 × 13 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,140,800
Proper Divisor Sum 3,055,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2084989 ← → #2084993

Radix Representation

Decimal 2084992
Binary 111111101000010000000 (21 bits)
Octal 0o7750200
Hexadecimal 0x1FD080

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 179 182 208 224 358 364 416 448 716 728 832 896 1,253 1,432 1,456 1,664 2,327 2,506 2,864 2,912 4,654 5,012 5,728 5,824 9,308 10,024 11,456 11,648 16,289 18,616 20,048 22,912 32,578 37,232 40,096 65,156 74,464 80,192 130,312 148,928 160,384 260,624

Collatz Trajectory (47 steps to reach 1)

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

2,084,992 1,042,496 521,248 260,624 130,312 65,156 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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