2,825,752

2³ × 421 × 839

2,825,752 factors as 2^3 × 421 × 839. Its 16 positive divisors give a proper-divisor sum of 2,491,448, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^3 × 421 × 839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,317,200

Proper Divisor Sum 2,491,448

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2825749 ← → #2825759

Radix Representation

Decimal	2825752
Binary	1010110001111000011000 (22 bits)
Octal	0o12617030
Hexadecimal	0x2B1E18

Divisor Catalog (16)

1 2 4 8 421 839 842 1,678 1,684 3,356 3,368 6,712 353,219 706,438 1,412,876 2,825,752

Collatz Trajectory (107 steps to reach 1)

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

2,825,752 1,412,876 706,438 353,219 1,059,658 529,829 1,589,488 794,744 397,372 198,686 99,343 298,030 149,015 447,046 223,523 670,570 335,285 1,005,856 502,928 251,464 125,732 62,866 31,433 94,300 47,150 23,575 70,726 35,363 106,090 53,045 159,136 79,568 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499

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