λ
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Atlas › Integer Profiles › Node 6,822,651

6,822,651

3 × 11 × 23 × 89 × 101
Deficient Odd Composite

6,822,651 factors as 3 × 11 × 23 × 89 × 101. Its 32 positive divisors give a proper-divisor sum of 3,752,709, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3 × 11 × 23 × 89 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,575,360
Proper Divisor Sum 3,752,709
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6822631 ← → #6822659

Radix Representation

Decimal 6822651
Binary 11010000001101011111011 (23 bits)
Octal 0o32015373
Hexadecimal 0x681AFB

Divisor Catalog (32)

1 3 11 23 33 69 89 101 253 267 303 759 979 1,111 2,047 2,323 2,937 3,333 6,141 6,969 8,989 22,517 25,553 26,967 67,551 76,659 98,879 206,747 296,637 620,241 2,274,217 6,822,651

Collatz Trajectory (209 steps to reach 1)

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

6,822,651 20,467,954 10,233,977 30,701,932 15,350,966 7,675,483 23,026,450 11,513,225 34,539,676 17,269,838 8,634,919 25,904,758 12,952,379 38,857,138 19,428,569 58,285,708 29,142,854 14,571,427 43,714,282 21,857,141 65,571,424 32,785,712 16,392,856 8,196,428 4,098,214 2,049,107 6,147,322 3,073,661 9,220,984 4,610,492 2,305,246 1,152,623 3,457,870 1,728,935 5,186,806 2,593,403 7,780,210 3,890,105 11,670,316 5,835,158 2,917,579 8,752,738 4,376,369 13,129,108 6,564,554 3,282,277 9,846,832 4,923,416 2,461,708 1,230,854 615,427 1,846,282 923,141 2,769,424 1,384,712 692,356 346,178 173,089 519,268 259,634

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