λ
Zalai Atlas

2,564,835

3 × 5 × 7 × 13 × 1879
Deficient Odd Composite

2,564,835 has the prime decomposition 3 × 5 × 7 × 13 × 1879. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 1879
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,053,440
Proper Divisor Sum 2,488,605
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2564831 ← → #2564843

Radix Representation

Decimal 2564835
Binary 1001110010001011100011 (22 bits)
Octal 0o11621343
Hexadecimal 0x2722E3

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 1,879 5,637 9,395 13,153 24,427 28,185 39,459 65,765 73,281 122,135 170,989 197,295 366,405 512,967 854,945 2,564,835

Collatz Trajectory (73 steps to reach 1)

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

2,564,835 7,694,506 3,847,253 11,541,760 5,770,880 2,885,440 1,442,720 721,360 360,680 180,340 90,170 45,085 135,256 67,628 33,814 16,907 50,722 25,361 76,084 38,042 19,021 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454

More profiles

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