λ
Zalai Atlas

4,743,178

2 × 11 × 37 × 5827
Deficient Even Composite

4,743,178 has the prime decomposition 2 × 11 × 37 × 5827. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 5827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,972,704
Proper Divisor Sum 3,229,526
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4743161 ← → #4743191

Radix Representation

Decimal 4743178
Binary 10010000110000000001010 (23 bits)
Octal 0o22060012
Hexadecimal 0x48600A

Divisor Catalog (16)

1 2 11 22 37 74 407 814 5,827 11,654 64,097 128,194 215,599 431,198 2,371,589 4,743,178

Collatz Trajectory (149 steps to reach 1)

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

4,743,178 2,371,589 7,114,768 3,557,384 1,778,692 889,346 444,673 1,334,020 667,010 333,505 1,000,516 500,258 250,129 750,388 375,194 187,597 562,792 281,396 140,698 70,349 211,048 105,524 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021

More profiles

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