λ
Prime Ledger

3,703,829

263 × 14083
Deficient Odd Composite

3,703,829 has the prime decomposition 263 × 14083. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 263 × 14083
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,718,176
Proper Divisor Sum 14,347
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3703823 ← → #3703831

Radix Representation

Decimal 3703829
Binary 1110001000010000010101 (22 bits)
Octal 0o16102025
Hexadecimal 0x388415

Divisor Catalog (4)

1 263 14,083 3,703,829

Collatz Trajectory (172 steps to reach 1)

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

3,703,829 11,111,488 5,555,744 2,777,872 1,388,936 694,468 347,234 173,617 520,852 260,426 130,213 390,640 195,320 97,660 48,830 24,415 73,246 36,623 109,870 54,935 164,806 82,403 247,210 123,605 370,816 185,408 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

More profiles

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