λ
Prime Ledger

3,796,941

3 × 19 × 29 × 2297
Deficient Odd Composite

3,796,941 has the prime decomposition 3 × 19 × 29 × 2297. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 29 × 2297
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,515,200
Proper Divisor Sum 1,718,259
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3796939 ← → #3796951

Radix Representation

Decimal 3796941
Binary 1110011110111111001101 (22 bits)
Octal 0o16367715
Hexadecimal 0x39EFCD

Divisor Catalog (16)

1 3 19 29 57 87 551 1,653 2,297 6,891 43,643 66,613 130,929 199,839 1,265,647 3,796,941

Collatz Trajectory (102 steps to reach 1)

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

3,796,941 11,390,824 5,695,412 2,847,706 1,423,853 4,271,560 2,135,780 1,067,890 533,945 1,601,836 800,918 400,459 1,201,378 600,689 1,802,068 901,034 450,517 1,351,552 675,776 337,888 168,944 84,472 42,236 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088

More profiles

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