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Atlas › Integer Profiles › Node 3,823,944

3,823,944

23 × 3 × 137 × 1163
Abundant Even Composite

3,823,944 factors as 2^3 × 3 × 137 × 1163. Its 32 positive divisors give a proper-divisor sum of 5,813,976, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 137 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,637,920
Proper Divisor Sum 5,813,976
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3823933 ← → #3823951

Radix Representation

Decimal 3823944
Binary 1110100101100101001000 (22 bits)
Octal 0o16454510
Hexadecimal 0x3A5948

Divisor Catalog (32)

1 2 3 4 6 8 12 24 137 274 411 548 822 1,096 1,163 1,644 2,326 3,288 3,489 4,652 6,978 9,304 13,956 27,912 159,331 318,662 477,993 637,324 955,986 1,274,648 1,911,972 3,823,944

Collatz Trajectory (172 steps to reach 1)

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

3,823,944 1,911,972 955,986 477,993 1,433,980 716,990 358,495 1,075,486 537,743 1,613,230 806,615 2,419,846 1,209,923 3,629,770 1,814,885 5,444,656 2,722,328 1,361,164 680,582 340,291 1,020,874 510,437 1,531,312 765,656 382,828 191,414 95,707 287,122 143,561 430,684 215,342 107,671 323,014 161,507 484,522 242,261 726,784 363,392 181,696 90,848 45,424 22,712 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048

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