λ
Prime Ledger

3,456,867

3 × 83 × 13883
Deficient Odd Composite

3,456,867 has the prime decomposition 3 × 83 × 13883. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 83 × 13883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,665,024
Proper Divisor Sum 1,208,157
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3456863 ← → #3456881

Radix Representation

Decimal 3456867
Binary 1101001011111101100011 (22 bits)
Octal 0o15137543
Hexadecimal 0x34BF63

Divisor Catalog (8)

1 3 83 249 13,883 41,649 1,152,289 3,456,867

Collatz Trajectory (146 steps to reach 1)

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

3,456,867 10,370,602 5,185,301 15,555,904 7,777,952 3,888,976 1,944,488 972,244 486,122 243,061 729,184 364,592 182,296 91,148 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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