418,776

2³ × 3 × 17449

418,776 factors as 2^3 × 3 × 17449. Its 16 positive divisors give a proper-divisor sum of 628,224, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17449

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,047,000

Proper Divisor Sum 628,224

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #418771 ← → #418783

Radix Representation

Decimal	418776
Binary	1100110001111011000 (19 bits)
Octal	0o1461730
Hexadecimal	0x663D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 17,449 34,898 52,347 69,796 104,694 139,592 209,388 418,776

Collatz Trajectory (174 steps to reach 1)

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

418,776 209,388 104,694 52,347 157,042 78,521 235,564 117,782 58,891 176,674 88,337 265,012 132,506 66,253 198,760 99,380 49,690 24,845 74,536 37,268 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

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