506,988

2² × 3² × 14083

506,988 factors as 2^2 × 3^2 × 14083. Its 18 positive divisors give a proper-divisor sum of 774,656, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 14083

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,281,644

Proper Divisor Sum 774,656

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #506983 ← → #506993

Radix Representation

Decimal	506988
Binary	1111011110001101100 (19 bits)
Octal	0o1736154
Hexadecimal	0x7BC6C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 14,083 28,166 42,249 56,332 84,498 126,747 168,996 253,494 506,988

Collatz Trajectory (182 steps to reach 1)

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

506,988 253,494 126,747 380,242 190,121 570,364 285,182 142,591 427,774 213,887 641,662 320,831 962,494 481,247 1,443,742 721,871 2,165,614 1,082,807 3,248,422 1,624,211 4,872,634 2,436,317 7,308,952 3,654,476 1,827,238 913,619 2,740,858 1,370,429 4,111,288 2,055,644 1,027,822 513,911 1,541,734 770,867 2,312,602 1,156,301 3,468,904 1,734,452 867,226 433,613 1,300,840 650,420 325,210 162,605 487,816 243,908 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295

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