506,721

3 × 67 × 2521

506,721 factors as 3 × 67 × 2521. Its 8 positive divisors give a proper-divisor sum of 179,263, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 67 × 2521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 685,984

Proper Divisor Sum 179,263

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #506699 ← → #506729

Radix Representation

Decimal	506721
Binary	1111011101101100001 (19 bits)
Octal	0o1735541
Hexadecimal	0x7BB61

Divisor Catalog (8)

1 3 67 201 2,521 7,563 168,907 506,721

Collatz Trajectory (138 steps to reach 1)

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

506,721 1,520,164 760,082 380,041 1,140,124 570,062 285,031 855,094 427,547 1,282,642 641,321 1,923,964 961,982 480,991 1,442,974 721,487 2,164,462 1,082,231 3,246,694 1,623,347 4,870,042 2,435,021 7,305,064 3,652,532 1,826,266 913,133 2,739,400 1,369,700 684,850 342,425 1,027,276 513,638 256,819 770,458 385,229 1,155,688 577,844 288,922 144,461 433,384 216,692 108,346 54,173 162,520 81,260 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708

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