λ
Prime Ledger

37,763

11 × 3433
Deficient Odd Composite

37,763 has the prime decomposition 11 × 3433. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 3433
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 41,208
Proper Divisor Sum 3,445
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #37747 ← → #37781

Radix Representation

Decimal 37763
Binary 1001001110000011 (16 bits)
Octal 0o111603
Hexadecimal 0x9383

Divisor Catalog (4)

1 11 3,433 37,763

Collatz Trajectory (62 steps to reach 1)

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

37,763 113,290 56,645 169,936 84,968 42,484 21,242 10,621 31,864 15,932 7,966 3,983 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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