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Atlas › Integer Profiles › Node 6,185,904

6,185,904

24 × 3 × 128873
Abundant Even Composite

6,185,904 factors as 2^4 × 3 × 128873. Its 20 positive divisors give a proper-divisor sum of 9,794,472, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 128873
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,980,376
Proper Divisor Sum 9,794,472
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6185897 ← → #6185941

Radix Representation

Decimal 6185904
Binary 10111100110001110110000 (23 bits)
Octal 0o27461660
Hexadecimal 0x5E63B0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 128,873 257,746 386,619 515,492 773,238 1,030,984 1,546,476 2,061,968 3,092,952 6,185,904

Collatz Trajectory (90 steps to reach 1)

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

6,185,904 3,092,952 1,546,476 773,238 386,619 1,159,858 579,929 1,739,788 869,894 434,947 1,304,842 652,421 1,957,264 978,632 489,316 244,658 122,329 366,988 183,494 91,747 275,242 137,621 412,864 206,432 103,216 51,608 25,804 12,902 6,451 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560

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