λ
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Atlas › Integer Profiles › Node 6,859,965

6,859,965

3 × 5 × 7 × 79 × 827
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 79 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,718,080
Proper Divisor Sum 5,858,115
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6859961 ← → #6859967

Radix Representation

Decimal 6859965
Binary 11010001010110010111101 (23 bits)
Octal 0o32126275
Hexadecimal 0x68ACBD

Divisor Catalog (32)

1 3 5 7 15 21 35 79 105 237 395 553 827 1,185 1,659 2,481 2,765 4,135 5,789 8,295 12,405 17,367 28,945 65,333 86,835 195,999 326,665 457,331 979,995 1,371,993 2,286,655 6,859,965

Collatz Trajectory (266 steps to reach 1)

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

6,859,965 20,579,896 10,289,948 5,144,974 2,572,487 7,717,462 3,858,731 11,576,194 5,788,097 17,364,292 8,682,146 4,341,073 13,023,220 6,511,610 3,255,805 9,767,416 4,883,708 2,441,854 1,220,927 3,662,782 1,831,391 5,494,174 2,747,087 8,241,262 4,120,631 12,361,894 6,180,947 18,542,842 9,271,421 27,814,264 13,907,132 6,953,566 3,476,783 10,430,350 5,215,175 15,645,526 7,822,763 23,468,290 11,734,145 35,202,436 17,601,218 8,800,609 26,401,828 13,200,914 6,600,457 19,801,372 9,900,686 4,950,343 14,851,030 7,425,515 22,276,546 11,138,273 33,414,820 16,707,410 8,353,705 25,061,116 12,530,558 6,265,279 18,795,838 9,397,919

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