501,204

2² × 3 × 11 × 3797

501,204 is even and not a perfect square. Its factorization is 2^2 × 3 × 11 × 3797 and its 24 divisors sum to 1,276,128.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 3797

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,276,128

Proper Divisor Sum 774,924

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #501203 ← → #501209

Radix Representation

Decimal	501204
Binary	1111010010111010100 (19 bits)
Octal	0o1722724
Hexadecimal	0x7A5D4

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 3,797 7,594 11,391 15,188 22,782 41,767 45,564 83,534 125,301 167,068 250,602 501,204

Collatz Trajectory (107 steps to reach 1)

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

501,204 250,602 125,301 375,904 187,952 93,976 46,988 23,494 11,747 35,242 17,621 52,864 26,432 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

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