4,199,844

2² × 3 × 11 × 31817

4,199,844 factors as 2^2 × 3 × 11 × 31817. Its 24 positive divisors give a proper-divisor sum of 6,491,004, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 31817

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,690,848

Proper Divisor Sum 6,491,004

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4199837 ← → #4199851

Radix Representation

Decimal	4199844
Binary	10000000001010110100100 (23 bits)
Octal	0o20012644
Hexadecimal	0x4015A4

Divisor Catalog (24)

Collatz Trajectory (229 steps to reach 1)

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

4,199,844 2,099,922 1,049,961 3,149,884 1,574,942 787,471 2,362,414 1,181,207 3,543,622 1,771,811 5,315,434 2,657,717 7,973,152 3,986,576 1,993,288 996,644 498,322 249,161 747,484 373,742 186,871 560,614 280,307 840,922 420,461 1,261,384 630,692 315,346 157,673 473,020 236,510 118,255 354,766 177,383 532,150 266,075 798,226 399,113 1,197,340 598,670 299,335 898,006 449,003 1,347,010 673,505 2,020,516 1,010,258 505,129 1,515,388 757,694 378,847 1,136,542 568,271 1,704,814 852,407 2,557,222 1,278,611 3,835,834 1,917,917 5,753,752

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