λ
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4,228,752

24 × 3 × 11 × 8009
Abundant Even Composite

4,228,752 factors as 2^4 × 3 × 11 × 8009. Its 40 positive divisors give a proper-divisor sum of 7,690,128, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 8009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,918,880
Proper Divisor Sum 7,690,128
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4228739 ← → #4228759

Radix Representation

Decimal 4228752
Binary 10000001000011010010000 (23 bits)
Octal 0o20103220
Hexadecimal 0x408690

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 8,009 16,018 24,027 32,036 48,054 64,072 88,099 96,108 128,144 176,198 192,216 264,297 352,396 384,432 528,594 704,792 1,057,188 1,409,584 2,114,376 4,228,752

Collatz Trajectory (79 steps to reach 1)

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

4,228,752 2,114,376 1,057,188 528,594 264,297 792,892 396,446 198,223 594,670 297,335 892,006 446,003 1,338,010 669,005 2,007,016 1,003,508 501,754 250,877 752,632 376,316 188,158 94,079 282,238 141,119 423,358 211,679 635,038 317,519 952,558 476,279 1,428,838 714,419 2,143,258 1,071,629 3,214,888 1,607,444 803,722 401,861 1,205,584 602,792 301,396 150,698 75,349 226,048 113,024 56,512 28,256 14,128 7,064 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746

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