429,774

2 × 3 × 83 × 863

429,774 factors as 2 × 3 × 83 × 863. Its 16 positive divisors give a proper-divisor sum of 441,138, so this integer is abundant. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2 × 3 × 83 × 863

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 870,912

Proper Divisor Sum 441,138

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #429773 ← → #429791

Radix Representation

Decimal	429774
Binary	1101000111011001110 (19 bits)
Octal	0o1507316
Hexadecimal	0x68ECE

Divisor Catalog (16)

1 2 3 6 83 166 249 498 863 1,726 2,589 5,178 71,629 143,258 214,887 429,774

Collatz Trajectory (249 steps to reach 1)

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

429,774 214,887 644,662 322,331 966,994 483,497 1,450,492 725,246 362,623 1,087,870 543,935 1,631,806 815,903 2,447,710 1,223,855 3,671,566 1,835,783 5,507,350 2,753,675 8,261,026 4,130,513 12,391,540 6,195,770 3,097,885 9,293,656 4,646,828 2,323,414 1,161,707 3,485,122 1,742,561 5,227,684 2,613,842 1,306,921 3,920,764 1,960,382 980,191 2,940,574 1,470,287 4,410,862 2,205,431 6,616,294 3,308,147 9,924,442 4,962,221 14,886,664 7,443,332 3,721,666 1,860,833 5,582,500 2,791,250 1,395,625 4,186,876 2,093,438 1,046,719 3,140,158 1,570,079 4,710,238 2,355,119 7,065,358 3,532,679

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