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Atlas › Integer Profiles › Node 3,336,320

3,336,320

27 × 5 × 13 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5 × 13 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,610,840
Proper Divisor Sum 5,274,520
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3336317 ← → #3336323

Radix Representation

Decimal 3336320
Binary 1100101110100010000000 (22 bits)
Octal 0o14564200
Hexadecimal 0x32E880

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 401 416 520 640 802 832 1,040 1,604 1,664 2,005 2,080 3,208 4,010 4,160 5,213 6,416 8,020 8,320 10,426 12,832 16,040 20,852 25,664 26,065 32,080 41,704 51,328 52,130 64,160 83,408 104,260 128,320 166,816 208,520 256,640 333,632 417,040

Collatz Trajectory (58 steps to reach 1)

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

3,336,320 1,668,160 834,080 417,040 208,520 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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