λ
Sigma Notebook

2,043,704

23 × 13 × 43 × 457
Abundant Even Composite

2,043,704 is even and not a perfect square. Its factorization is 2^3 × 13 × 43 × 457 and its 32 divisors sum to 4,231,920.

Prime Factor Structure

Factorization String 2^3 × 13 × 43 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,231,920
Proper Divisor Sum 2,188,216
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2043703 ← → #2043719

Radix Representation

Decimal 2043704
Binary 111110010111100111000 (21 bits)
Octal 0o7627470
Hexadecimal 0x1F2F38

Divisor Catalog (32)

1 2 4 8 13 26 43 52 86 104 172 344 457 559 914 1,118 1,828 2,236 3,656 4,472 5,941 11,882 19,651 23,764 39,302 47,528 78,604 157,208 255,463 510,926 1,021,852 2,043,704

Collatz Trajectory (104 steps to reach 1)

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

2,043,704 1,021,852 510,926 255,463 766,390 383,195 1,149,586 574,793 1,724,380 862,190 431,095 1,293,286 646,643 1,939,930 969,965 2,909,896 1,454,948 727,474 363,737 1,091,212 545,606 272,803 818,410 409,205 1,227,616 613,808 306,904 153,452 76,726 38,363 115,090 57,545 172,636 86,318 43,159 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361

More profiles

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