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Atlas › Integer Profiles › Node 8,054,980

8,054,980

22 × 5 × 487 × 827
Abundant Even Composite

8,054,980 factors as 2^2 × 5 × 487 × 827. Its 24 positive divisors give a proper-divisor sum of 8,915,708, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 487 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,970,688
Proper Divisor Sum 8,915,708
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8054951 ← → #8054999

Radix Representation

Decimal 8054980
Binary 11110101110100011000100 (23 bits)
Octal 0o36564304
Hexadecimal 0x7AE8C4

Divisor Catalog (24)

1 2 4 5 10 20 487 827 974 1,654 1,948 2,435 3,308 4,135 4,870 8,270 9,740 16,540 402,749 805,498 1,610,996 2,013,745 4,027,490 8,054,980

Collatz Trajectory (217 steps to reach 1)

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

8,054,980 4,027,490 2,013,745 6,041,236 3,020,618 1,510,309 4,530,928 2,265,464 1,132,732 566,366 283,183 849,550 424,775 1,274,326 637,163 1,911,490 955,745 2,867,236 1,433,618 716,809 2,150,428 1,075,214 537,607 1,612,822 806,411 2,419,234 1,209,617 3,628,852 1,814,426 907,213 2,721,640 1,360,820 680,410 340,205 1,020,616 510,308 255,154 127,577 382,732 191,366 95,683 287,050 143,525 430,576 215,288 107,644 53,822 26,911 80,734 40,367 121,102 60,551 181,654 90,827 272,482 136,241 408,724 204,362 102,181 306,544

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