λ
Math Directory

3,743,429

89 × 42061
Deficient Odd Composite

3,743,429 factors as 89 × 42061. Its 4 positive divisors give a proper-divisor sum of 42,151, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 89 × 42061
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,785,580
Proper Divisor Sum 42,151
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3743419 ← → #3743447

Radix Representation

Decimal 3743429
Binary 1110010001111011000101 (22 bits)
Octal 0o16217305
Hexadecimal 0x391EC5

Divisor Catalog (4)

1 89 42,061 3,743,429

Collatz Trajectory (128 steps to reach 1)

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

3,743,429 11,230,288 5,615,144 2,807,572 1,403,786 701,893 2,105,680 1,052,840 526,420 263,210 131,605 394,816 197,408 98,704 49,352 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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