λ
Prime Ledger

1,828,437

3 × 13 × 173 × 271
Deficient Odd Composite

1,828,437 has the prime decomposition 3 × 13 × 173 × 271. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 173 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,650,368
Proper Divisor Sum 821,931
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1828433 ← → #1828439

Radix Representation

Decimal 1828437
Binary 110111110011001010101 (21 bits)
Octal 0o6763125
Hexadecimal 0x1BE655

Divisor Catalog (16)

1 3 13 39 173 271 519 813 2,249 3,523 6,747 10,569 46,883 140,649 609,479 1,828,437

Collatz Trajectory (39 steps to reach 1)

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

1,828,437 5,485,312 2,742,656 1,371,328 685,664 342,832 171,416 85,708 42,854 21,427 64,282 32,141 96,424 48,212 24,106 12,053 36,160 18,080 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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