1,536,030

2 × 3³ × 5 × 5689

1,536,030 factors as 2 × 3^3 × 5 × 5689. Its 32 positive divisors give a proper-divisor sum of 2,560,770, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 5689

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,096,800

Proper Divisor Sum 2,560,770

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1536023 ← → #1536037

Radix Representation

Decimal	1536030
Binary	101110111000000011110 (21 bits)
Octal	0o5670036
Hexadecimal	0x17701E

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 5,689 11,378 17,067 28,445 34,134 51,201 56,890 85,335 102,402 153,603 170,670 256,005 307,206 512,010 768,015 1,536,030

Collatz Trajectory (225 steps to reach 1)

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

1,536,030 768,015 2,304,046 1,152,023 3,456,070 1,728,035 5,184,106 2,592,053 7,776,160 3,888,080 1,944,040 972,020 486,010 243,005 729,016 364,508 182,254 91,127 273,382 136,691 410,074 205,037 615,112 307,556 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462

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