λ
Prime Ledger

3,429,884

22 × 857471
Deficient Even Composite

3,429,884 has the prime decomposition 2^2 × 857471. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 857471
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,002,304
Proper Divisor Sum 2,572,420
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3429883 ← → #3429893

Radix Representation

Decimal 3429884
Binary 1101000101010111111100 (22 bits)
Octal 0o15052774
Hexadecimal 0x3455FC

Divisor Catalog (6)

1 2 4 857,471 1,714,942 3,429,884

Collatz Trajectory (239 steps to reach 1)

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

3,429,884 1,714,942 857,471 2,572,414 1,286,207 3,858,622 1,929,311 5,787,934 2,893,967 8,681,902 4,340,951 13,022,854 6,511,427 19,534,282 9,767,141 29,301,424 14,650,712 7,325,356 3,662,678 1,831,339 5,494,018 2,747,009 8,241,028 4,120,514 2,060,257 6,180,772 3,090,386 1,545,193 4,635,580 2,317,790 1,158,895 3,476,686 1,738,343 5,215,030 2,607,515 7,822,546 3,911,273 11,733,820 5,866,910 2,933,455 8,800,366 4,400,183 13,200,550 6,600,275 19,800,826 9,900,413 29,701,240 14,850,620 7,425,310 3,712,655 11,137,966 5,568,983 16,706,950 8,353,475 25,060,426 12,530,213 37,590,640 18,795,320 9,397,660 4,698,830

More profiles

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