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Atlas › Integer Profiles › Node 3,065,664

3,065,664

26 × 3 × 7 × 2281
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 2281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 9,274,048
Proper Divisor Sum 6,208,384
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3065663 ← → #3065681

Radix Representation

Decimal 3065664
Binary 1011101100011101000000 (22 bits)
Octal 0o13543500
Hexadecimal 0x2EC740

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1,344 2,281 4,562 6,843 9,124 13,686 15,967 18,248 27,372 31,934 36,496 47,901 54,744 63,868 72,992 95,802 109,488 127,736 145,984 191,604 218,976 255,472 383,208 437,952 510,944 766,416 1,021,888 1,532,832 3,065,664

Collatz Trajectory (58 steps to reach 1)

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

3,065,664 1,532,832 766,416 383,208 191,604 95,802 47,901 143,704 71,852 35,926 17,963 53,890 26,945 80,836 40,418 20,209 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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