λ
Sigma Notebook

4,241,680

24 × 5 × 37 × 1433
Abundant Even Composite

4,241,680 is even and not a perfect square. Its factorization is 2^4 × 5 × 37 × 1433 and its 40 divisors sum to 10,135,512.

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,135,512
Proper Divisor Sum 5,893,832
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4241663 ← → #4241689

Radix Representation

Decimal 4241680
Binary 10000001011100100010000 (23 bits)
Octal 0o20134420
Hexadecimal 0x40B910

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1,433 1,480 2,866 2,960 5,732 7,165 11,464 14,330 22,928 28,660 53,021 57,320 106,042 114,640 212,084 265,105 424,168 530,210 848,336 1,060,420 2,120,840 4,241,680

Collatz Trajectory (167 steps to reach 1)

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

4,241,680 2,120,840 1,060,420 530,210 265,105 795,316 397,658 198,829 596,488 298,244 149,122 74,561 223,684 111,842 55,921 167,764 83,882 41,941 125,824 62,912 31,456 15,728 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

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