λ
Prime Ledger

3,820,390

2 × 5 × 7 × 54577
Abundant Even Composite

3,820,390 has the prime decomposition 2 × 5 × 7 × 54577. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 54577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,859,232
Proper Divisor Sum 4,038,842
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3820379 ← → #3820391

Radix Representation

Decimal 3820390
Binary 1110100100101101100110 (22 bits)
Octal 0o16445546
Hexadecimal 0x3A4B66

Divisor Catalog (16)

1 2 5 7 10 14 35 70 54,577 109,154 272,885 382,039 545,770 764,078 1,910,195 3,820,390

Collatz Trajectory (247 steps to reach 1)

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

3,820,390 1,910,195 5,730,586 2,865,293 8,595,880 4,297,940 2,148,970 1,074,485 3,223,456 1,611,728 805,864 402,932 201,466 100,733 302,200 151,100 75,550 37,775 113,326 56,663 169,990 84,995 254,986 127,493 382,480 191,240 95,620 47,810 23,905 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239

More profiles

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