λ
Prime Ledger

3,420,394

2 × 1710197
Deficient Even Composite

3,420,394 has the prime decomposition 2 × 1710197. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 1710197
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,130,594
Proper Divisor Sum 1,710,200
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3420371 ← → #3420401

Radix Representation

Decimal 3420394
Binary 1101000011000011101010 (22 bits)
Octal 0o15030352
Hexadecimal 0x3430EA

Divisor Catalog (4)

1 2 1,710,197 3,420,394

Collatz Trajectory (221 steps to reach 1)

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

3,420,394 1,710,197 5,130,592 2,565,296 1,282,648 641,324 320,662 160,331 480,994 240,497 721,492 360,746 180,373 541,120 270,560 135,280 67,640 33,820 16,910 8,455 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703

More profiles

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