λ
Prime Ledger

3,515,780

22 × 5 × 23 × 7643
Abundant Even Composite

3,515,780 has the prime decomposition 2^2 × 5 × 23 × 7643. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 7643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,705,152
Proper Divisor Sum 4,189,372
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3515761 ← → #3515783

Radix Representation

Decimal 3515780
Binary 1101011010010110000100 (22 bits)
Octal 0o15322604
Hexadecimal 0x35A584

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 7,643 15,286 30,572 38,215 76,430 152,860 175,789 351,578 703,156 878,945 1,757,890 3,515,780

Collatz Trajectory (128 steps to reach 1)

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

3,515,780 1,757,890 878,945 2,636,836 1,318,418 659,209 1,977,628 988,814 494,407 1,483,222 741,611 2,224,834 1,112,417 3,337,252 1,668,626 834,313 2,502,940 1,251,470 625,735 1,877,206 938,603 2,815,810 1,407,905 4,223,716 2,111,858 1,055,929 3,167,788 1,583,894 791,947 2,375,842 1,187,921 3,563,764 1,781,882 890,941 2,672,824 1,336,412 668,206 334,103 1,002,310 501,155 1,503,466 751,733 2,255,200 1,127,600 563,800 281,900 140,950 70,475 211,426 105,713 317,140 158,570 79,285 237,856 118,928 59,464 29,732 14,866 7,433 22,300

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