λ
Prime Ledger

3,820,946

2 × 311 × 6143
Deficient Even Composite

3,820,946 has the prime decomposition 2 × 311 × 6143. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 311 × 6143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,750,784
Proper Divisor Sum 1,929,838
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3820933 ← → #3820963

Radix Representation

Decimal 3820946
Binary 1110100100110110010010 (22 bits)
Octal 0o16446622
Hexadecimal 0x3A4D92

Divisor Catalog (8)

1 2 311 622 6,143 12,286 1,910,473 3,820,946

Collatz Trajectory (79 steps to reach 1)

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

3,820,946 1,910,473 5,731,420 2,865,710 1,432,855 4,298,566 2,149,283 6,447,850 3,223,925 9,671,776 4,835,888 2,417,944 1,208,972 604,486 302,243 906,730 453,365 1,360,096 680,048 340,024 170,012 85,006 42,503 127,510 63,755 191,266 95,633 286,900 143,450 71,725 215,176 107,588 53,794 26,897 80,692 40,346 20,173 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19

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