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Atlas › Integer Profiles › Node 3,208,569

3,208,569

3 × 72 × 13 × 23 × 73
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 23 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,668,992
Proper Divisor Sum 2,460,423
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3208559 ← → #3208573

Radix Representation

Decimal 3208569
Binary 1100001111010101111001 (22 bits)
Octal 0o14172571
Hexadecimal 0x30F579

Divisor Catalog (48)

1 3 7 13 21 23 39 49 69 73 91 147 161 219 273 299 483 511 637 897 949 1,127 1,533 1,679 1,911 2,093 2,847 3,381 3,577 5,037 6,279 6,643 10,731 11,753 14,651 19,929 21,827 35,259 43,953 46,501 65,481 82,271 139,503 152,789 246,813 458,367 1,069,523 3,208,569

Collatz Trajectory (239 steps to reach 1)

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

3,208,569 9,625,708 4,812,854 2,406,427 7,219,282 3,609,641 10,828,924 5,414,462 2,707,231 8,121,694 4,060,847 12,182,542 6,091,271 18,273,814 9,136,907 27,410,722 13,705,361 41,116,084 20,558,042 10,279,021 30,837,064 15,418,532 7,709,266 3,854,633 11,563,900 5,781,950 2,890,975 8,672,926 4,336,463 13,009,390 6,504,695 19,514,086 9,757,043 29,271,130 14,635,565 43,906,696 21,953,348 10,976,674 5,488,337 16,465,012 8,232,506 4,116,253 12,348,760 6,174,380 3,087,190 1,543,595 4,630,786 2,315,393 6,946,180 3,473,090 1,736,545 5,209,636 2,604,818 1,302,409 3,907,228 1,953,614 976,807 2,930,422 1,465,211 4,395,634

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