λ
Prime Ledger

3,761,740

22 × 5 × 127 × 1481
Abundant Even Composite

3,761,740 has the prime decomposition 2^2 × 5 × 127 × 1481. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 127 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,967,232
Proper Divisor Sum 4,205,492
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3761731 ← → #3761741

Radix Representation

Decimal 3761740
Binary 1110010110011001001100 (22 bits)
Octal 0o16263114
Hexadecimal 0x39664C

Divisor Catalog (24)

1 2 4 5 10 20 127 254 508 635 1,270 1,481 2,540 2,962 5,924 7,405 14,810 29,620 188,087 376,174 752,348 940,435 1,880,870 3,761,740

Collatz Trajectory (203 steps to reach 1)

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

3,761,740 1,880,870 940,435 2,821,306 1,410,653 4,231,960 2,115,980 1,057,990 528,995 1,586,986 793,493 2,380,480 1,190,240 595,120 297,560 148,780 74,390 37,195 111,586 55,793 167,380 83,690 41,845 125,536 62,768 31,384 15,692 7,846 3,923 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248

More profiles

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