λ
Sigma Notebook

4,351,424

26 × 7 × 11 × 883
Abundant Even Composite

4,351,424 is even and not a perfect square. Its factorization is 2^6 × 7 × 11 × 883 and its 56 divisors sum to 10,777,728.

Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 10,777,728
Proper Divisor Sum 6,426,304
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4351423 ← → #4351429

Radix Representation

Decimal 4351424
Binary 10000100110010111000000 (23 bits)
Octal 0o20462700
Hexadecimal 0x4265C0

Divisor Catalog (56)

1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 883 1,232 1,766 2,464 3,532 4,928 6,181 7,064 9,713 12,362 14,128 19,426 24,724 28,256 38,852 49,448 56,512 67,991 77,704 98,896 135,982 155,408 197,792 271,964 310,816 395,584 543,928 621,632 1,087,856 2,175,712 4,351,424

Collatz Trajectory (92 steps to reach 1)

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

4,351,424 2,175,712 1,087,856 543,928 271,964 135,982 67,991 203,974 101,987 305,962 152,981 458,944 229,472 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769

More profiles

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