λ
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Atlas › Integer Profiles › Node 685,044

685,044

22 × 33 × 6343
Abundant Even Composite

685,044 factors as 2^2 × 3^3 × 6343. Its 24 positive divisors give a proper-divisor sum of 1,091,276, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 6343
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,776,320
Proper Divisor Sum 1,091,276
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #685039 ← → #685051

Radix Representation

Decimal 685044
Binary 10100111001111110100 (20 bits)
Octal 0o2471764
Hexadecimal 0xA73F4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 6,343 12,686 19,029 25,372 38,058 57,087 76,116 114,174 171,261 228,348 342,522 685,044

Collatz Trajectory (198 steps to reach 1)

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

685,044 342,522 171,261 513,784 256,892 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354

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