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Atlas › Integer Profiles › Node 3,280,932

3,280,932

22 × 33 × 17 × 1787
Abundant Even Composite

3,280,932 factors as 2^2 × 3^3 × 17 × 1787. Its 48 positive divisors give a proper-divisor sum of 5,730,588, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 1787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,011,520
Proper Divisor Sum 5,730,588
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3280903 ← → #3280957

Radix Representation

Decimal 3280932
Binary 1100100001000000100100 (22 bits)
Octal 0o14410044
Hexadecimal 0x321024

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,787 1,836 3,574 5,361 7,148 10,722 16,083 21,444 30,379 32,166 48,249 60,758 64,332 91,137 96,498 121,516 182,274 192,996 273,411 364,548 546,822 820,233 1,093,644 1,640,466 3,280,932

Collatz Trajectory (208 steps to reach 1)

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

3,280,932 1,640,466 820,233 2,460,700 1,230,350 615,175 1,845,526 922,763 2,768,290 1,384,145 4,152,436 2,076,218 1,038,109 3,114,328 1,557,164 778,582 389,291 1,167,874 583,937 1,751,812 875,906 437,953 1,313,860 656,930 328,465 985,396 492,698 246,349 739,048 369,524 184,762 92,381 277,144 138,572 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865

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