418,404

2² × 3 × 7 × 17 × 293

418,404 factors as 2^2 × 3 × 7 × 17 × 293. Its 48 positive divisors give a proper-divisor sum of 767,004, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 17 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,185,408

Proper Divisor Sum 767,004

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #418391 ← → #418423

Radix Representation

Decimal	418404
Binary	1100110001001100100 (19 bits)
Octal	0o1461144
Hexadecimal	0x66264

Divisor Catalog (48)

1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 293 357 476 586 714 879 1,172 1,428 1,758 2,051 3,516 4,102 4,981 6,153 8,204 9,962 12,306 14,943 19,924 24,612 29,886 34,867 59,772 69,734 104,601 139,468 209,202 418,404

Collatz Trajectory (112 steps to reach 1)

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

418,404 209,202 104,601 313,804 156,902 78,451 235,354 117,677 353,032 176,516 88,258 44,129 132,388 66,194 33,097 99,292 49,646 24,823 74,470 37,235 111,706 55,853 167,560 83,780 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443

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