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Atlas › Integer Profiles › Node 6,670,120

6,670,120

23 × 5 × 172 × 577
Abundant Even Composite

6,670,120 factors as 2^3 × 5 × 17^2 × 577. Its 48 positive divisors give a proper-divisor sum of 9,300,020, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17^2 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,970,140
Proper Divisor Sum 9,300,020
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6670109 ← → #6670187

Radix Representation

Decimal 6670120
Binary 11001011100011100101000 (23 bits)
Octal 0o31343450
Hexadecimal 0x65C728

Divisor Catalog (48)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 577 578 680 1,154 1,156 1,445 2,308 2,312 2,885 2,890 4,616 5,770 5,780 9,809 11,540 11,560 19,618 23,080 39,236 49,045 78,472 98,090 166,753 196,180 333,506 392,360 667,012 833,765 1,334,024 1,667,530 3,335,060 6,670,120

Collatz Trajectory (85 steps to reach 1)

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

6,670,120 3,335,060 1,667,530 833,765 2,501,296 1,250,648 625,324 312,662 156,331 468,994 234,497 703,492 351,746 175,873 527,620 263,810 131,905 395,716 197,858 98,929 296,788 148,394 74,197 222,592 111,296 55,648 27,824 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197

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