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Atlas › Integer Profiles › Node 3,309,504

3,309,504

26 × 3 × 11 × 1567
Abundant Even Composite

3,309,504 factors as 2^6 × 3 × 11 × 1567. Its 56 positive divisors give a proper-divisor sum of 6,249,024, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 11 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 9,558,528
Proper Divisor Sum 6,249,024
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3309499 ← → #3309511

Radix Representation

Decimal 3309504
Binary 1100100111111111000000 (22 bits)
Octal 0o14477700
Hexadecimal 0x327FC0

Divisor Catalog (56)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1,056 1,567 2,112 3,134 4,701 6,268 9,402 12,536 17,237 18,804 25,072 34,474 37,608 50,144 51,711 68,948 75,216 100,288 103,422 137,896 150,432 206,844 275,792 300,864 413,688 551,584 827,376 1,103,168 1,654,752 3,309,504

Collatz Trajectory (146 steps to reach 1)

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

3,309,504 1,654,752 827,376 413,688 206,844 103,422 51,711 155,134 77,567 232,702 116,351 349,054 174,527 523,582 261,791 785,374 392,687 1,178,062 589,031 1,767,094 883,547 2,650,642 1,325,321 3,975,964 1,987,982 993,991 2,981,974 1,490,987 4,472,962 2,236,481 6,709,444 3,354,722 1,677,361 5,032,084 2,516,042 1,258,021 3,774,064 1,887,032 943,516 471,758 235,879 707,638 353,819 1,061,458 530,729 1,592,188 796,094 398,047 1,194,142 597,071 1,791,214 895,607 2,686,822 1,343,411 4,030,234 2,015,117 6,045,352 3,022,676 1,511,338 755,669

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