λ
Prime Ledger

2,171,226

2 × 3 × 361871
Abundant Even Composite

2,171,226 has the prime decomposition 2 × 3 × 361871. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 361871
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,342,464
Proper Divisor Sum 2,171,238
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2171219 ← → #2171231

Radix Representation

Decimal 2171226
Binary 1000010010000101011010 (22 bits)
Octal 0o10220532
Hexadecimal 0x21215A

Divisor Catalog (8)

1 2 3 6 361,871 723,742 1,085,613 2,171,226

Collatz Trajectory (104 steps to reach 1)

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

2,171,226 1,085,613 3,256,840 1,628,420 814,210 407,105 1,221,316 610,658 305,329 915,988 457,994 228,997 686,992 343,496 171,748 85,874 42,937 128,812 64,406 32,203 96,610 48,305 144,916 72,458 36,229 108,688 54,344 27,172 13,586 6,793 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383

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