λ
Math Directory

2,825,863

2825863
Deficient Odd Prime

2,825,863 factors as 2825863. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2825863
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,825,864
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2825861 ← → #2825869

Radix Representation

Decimal 2825863
Binary 1010110001111010000111 (22 bits)
Octal 0o12617207
Hexadecimal 0x2B1E87

Divisor Catalog (2)

Collatz Trajectory (151 steps to reach 1)

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

2,825,863 8,477,590 4,238,795 12,716,386 6,358,193 19,074,580 9,537,290 4,768,645 14,305,936 7,152,968 3,576,484 1,788,242 894,121 2,682,364 1,341,182 670,591 2,011,774 1,005,887 3,017,662 1,508,831 4,526,494 2,263,247 6,789,742 3,394,871 10,184,614 5,092,307 15,276,922 7,638,461 22,915,384 11,457,692 5,728,846 2,864,423 8,593,270 4,296,635 12,889,906 6,444,953 19,334,860 9,667,430 4,833,715 14,501,146 7,250,573 21,751,720 10,875,860 5,437,930 2,718,965 8,156,896 4,078,448 2,039,224 1,019,612 509,806 254,903 764,710 382,355 1,147,066 573,533 1,720,600 860,300 430,150 215,075 645,226

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