511,632

2⁴ × 3² × 11 × 17 × 19

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 17 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,740,960

Proper Divisor Sum 1,229,328

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #511631 ← → #511633

Radix Representation

Decimal	511632
Binary	1111100111010010000 (19 bits)
Octal	0o1747220
Hexadecimal	0x7CE90

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 17 18 19 22 24 33 34 36 38 44 48 51 57 66 68 72 76 88 99 102 114 132 136 144 152 153 171 176 187 198 204 209 228 264 272 304 306 323 342 374 396 408 418 456 528 561 612 627 646 684

Collatz Trajectory (195 steps to reach 1)

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

511,632 255,816 127,908 63,954 31,977 95,932 47,966 23,983 71,950 35,975 107,926 53,963 161,890 80,945 242,836 121,418 60,709 182,128 91,064 45,532 22,766 11,383 34,150 17,075 51,226 25,613 76,840 38,420 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250

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