λ
Prime Ledger

3,428,942

2 × 11 × 155861
Deficient Even Composite

3,428,942 has the prime decomposition 2 × 11 × 155861. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 155861
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,611,032
Proper Divisor Sum 2,182,090
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3428923 ← → #3428947

Radix Representation

Decimal 3428942
Binary 1101000101001001001110 (22 bits)
Octal 0o15051116
Hexadecimal 0x34524E

Divisor Catalog (8)

1 2 11 22 155,861 311,722 1,714,471 3,428,942

Collatz Trajectory (221 steps to reach 1)

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

3,428,942 1,714,471 5,143,414 2,571,707 7,715,122 3,857,561 11,572,684 5,786,342 2,893,171 8,679,514 4,339,757 13,019,272 6,509,636 3,254,818 1,627,409 4,882,228 2,441,114 1,220,557 3,661,672 1,830,836 915,418 457,709 1,373,128 686,564 343,282 171,641 514,924 257,462 128,731 386,194 193,097 579,292 289,646 144,823 434,470 217,235 651,706 325,853 977,560 488,780 244,390 122,195 366,586 183,293 549,880 274,940 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945

More profiles

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