λ
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3,948,824

23 × 11 × 23 × 1951
Abundant Even Composite

3,948,824 factors as 2^3 × 11 × 23 × 1951. Its 32 positive divisors give a proper-divisor sum of 4,483,816, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 23 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,432,640
Proper Divisor Sum 4,483,816
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3948821 ← → #3948839

Radix Representation

Decimal 3948824
Binary 1111000100000100011000 (22 bits)
Octal 0o17040430
Hexadecimal 0x3C4118

Divisor Catalog (32)

1 2 4 8 11 22 23 44 46 88 92 184 253 506 1,012 1,951 2,024 3,902 7,804 15,608 21,461 42,922 44,873 85,844 89,746 171,688 179,492 358,984 493,603 987,206 1,974,412 3,948,824

Collatz Trajectory (66 steps to reach 1)

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

3,948,824 1,974,412 987,206 493,603 1,480,810 740,405 2,221,216 1,110,608 555,304 277,652 138,826 69,413 208,240 104,120 52,060 26,030 13,015 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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