812,004

2² × 3 × 157 × 431

812,004 is even and not a perfect square. Its factorization is 2^2 × 3 × 157 × 431 and its 24 divisors sum to 1,911,168.

Prime Factor Structure

Factorization String 2^2 × 3 × 157 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,911,168

Proper Divisor Sum 1,099,164

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #811997 ← → #812011

Radix Representation

Decimal	812004
Binary	11000110001111100100 (20 bits)
Octal	0o3061744
Hexadecimal	0xC63E4

Divisor Catalog (24)

1 2 3 4 6 12 157 314 431 471 628 862 942 1,293 1,724 1,884 2,586 5,172 67,667 135,334 203,001 270,668 406,002 812,004

Collatz Trajectory (224 steps to reach 1)

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

812,004 406,002 203,001 609,004 304,502 152,251 456,754 228,377 685,132 342,566 171,283 513,850 256,925 770,776 385,388 192,694 96,347 289,042 144,521 433,564 216,782 108,391 325,174 162,587 487,762 243,881 731,644 365,822 182,911 548,734 274,367 823,102 411,551 1,234,654 617,327 1,851,982 925,991 2,777,974 1,388,987 4,166,962 2,083,481 6,250,444 3,125,222 1,562,611 4,687,834 2,343,917 7,031,752 3,515,876 1,757,938 878,969 2,636,908 1,318,454 659,227 1,977,682 988,841 2,966,524 1,483,262 741,631 2,224,894 1,112,447

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