463,134

2 × 3 × 7 × 11027

463,134 factors as 2 × 3 × 7 × 11027. Its 16 positive divisors give a proper-divisor sum of 595,554, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11027

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,058,688

Proper Divisor Sum 595,554

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #463103 ← → #463157

Radix Representation

Decimal	463134
Binary	1110001000100011110 (19 bits)
Octal	0o1610436
Hexadecimal	0x7111E

Divisor Catalog (16)

1 2 3 6 7 14 21 42 11,027 22,054 33,081 66,162 77,189 154,378 231,567 463,134

Collatz Trajectory (112 steps to reach 1)

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

463,134 231,567 694,702 347,351 1,042,054 521,027 1,563,082 781,541 2,344,624 1,172,312 586,156 293,078 146,539 439,618 219,809 659,428 329,714 164,857 494,572 247,286 123,643 370,930 185,465 556,396 278,198 139,099 417,298 208,649 625,948 312,974 156,487 469,462 234,731 704,194 352,097 1,056,292 528,146 264,073 792,220 396,110 198,055 594,166 297,083 891,250 445,625 1,336,876 668,438 334,219 1,002,658 501,329 1,503,988 751,994 375,997 1,127,992 563,996 281,998 140,999 422,998 211,499 634,498

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