λ
Prime Ledger

3,826,201

19 × 277 × 727
Deficient Odd Composite

3,826,201 has the prime decomposition 19 × 277 × 727. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 277 × 727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,047,680
Proper Divisor Sum 221,479
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3826187 ← → #3826219

Radix Representation

Decimal 3826201
Binary 1110100110001000011001 (22 bits)
Octal 0o16461031
Hexadecimal 0x3A6219

Divisor Catalog (8)

1 19 277 727 5,263 13,813 201,379 3,826,201

Collatz Trajectory (123 steps to reach 1)

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

3,826,201 11,478,604 5,739,302 2,869,651 8,608,954 4,304,477 12,913,432 6,456,716 3,228,358 1,614,179 4,842,538 2,421,269 7,263,808 3,631,904 1,815,952 907,976 453,988 226,994 113,497 340,492 170,246 85,123 255,370 127,685 383,056 191,528 95,764 47,882 23,941 71,824 35,912 17,956 8,978 4,489 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049

More profiles

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