λ
Prime Ledger

1,620,294

2 × 3 × 13 × 20773
Abundant Even Composite

1,620,294 has the prime decomposition 2 × 3 × 13 × 20773. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 20773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,490,032
Proper Divisor Sum 1,869,738
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1620271 ← → #1620319

Radix Representation

Decimal 1620294
Binary 110001011100101000110 (21 bits)
Octal 0o6134506
Hexadecimal 0x18B946

Divisor Catalog (16)

1 2 3 6 13 26 39 78 20,773 41,546 62,319 124,638 270,049 540,098 810,147 1,620,294

Collatz Trajectory (114 steps to reach 1)

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

1,620,294 810,147 2,430,442 1,215,221 3,645,664 1,822,832 911,416 455,708 227,854 113,927 341,782 170,891 512,674 256,337 769,012 384,506 192,253 576,760 288,380 144,190 72,095 216,286 108,143 324,430 162,215 486,646 243,323 729,970 364,985 1,094,956 547,478 273,739 821,218 410,609 1,231,828 615,914 307,957 923,872 461,936 230,968 115,484 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666

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