λ
Prime Ledger

3,420,590

2 × 5 × 342059
Deficient Even Composite

3,420,590 has the prime decomposition 2 × 5 × 342059. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 342059
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,157,080
Proper Divisor Sum 2,736,490
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3420581 ← → #3420601

Radix Representation

Decimal 3420590
Binary 1101000011000110101110 (22 bits)
Octal 0o15030656
Hexadecimal 0x3431AE

Divisor Catalog (8)

1 2 5 10 342,059 684,118 1,710,295 3,420,590

Collatz Trajectory (221 steps to reach 1)

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

3,420,590 1,710,295 5,130,886 2,565,443 7,696,330 3,848,165 11,544,496 5,772,248 2,886,124 1,443,062 721,531 2,164,594 1,082,297 3,246,892 1,623,446 811,723 2,435,170 1,217,585 3,652,756 1,826,378 913,189 2,739,568 1,369,784 684,892 342,446 171,223 513,670 256,835 770,506 385,253 1,155,760 577,880 288,940 144,470 72,235 216,706 108,353 325,060 162,530 81,265 243,796 121,898 60,949 182,848 91,424 45,712 22,856 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706

More profiles

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