404,110

2 × 5 × 7 × 23 × 251

404,110 factors as 2 × 5 × 7 × 23 × 251. Its 32 positive divisors give a proper-divisor sum of 466,802, so this integer is abundant. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 870,912

Proper Divisor Sum 466,802

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #404099 ← → #404113

Radix Representation

Decimal	404110
Binary	1100010101010001110 (19 bits)
Octal	0o1425216
Hexadecimal	0x62A8E

Divisor Catalog (32)

1 2 5 7 10 14 23 35 46 70 115 161 230 251 322 502 805 1,255 1,610 1,757 2,510 3,514 5,773 8,785 11,546 17,570 28,865 40,411 57,730 80,822 202,055 404,110

Collatz Trajectory (236 steps to reach 1)

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

404,110 202,055 606,166 303,083 909,250 454,625 1,363,876 681,938 340,969 1,022,908 511,454 255,727 767,182 383,591 1,150,774 575,387 1,726,162 863,081 2,589,244 1,294,622 647,311 1,941,934 970,967 2,912,902 1,456,451 4,369,354 2,184,677 6,554,032 3,277,016 1,638,508 819,254 409,627 1,228,882 614,441 1,843,324 921,662 460,831 1,382,494 691,247 2,073,742 1,036,871 3,110,614 1,555,307 4,665,922 2,332,961 6,998,884 3,499,442 1,749,721 5,249,164 2,624,582 1,312,291 3,936,874 1,968,437 5,905,312 2,952,656 1,476,328 738,164 369,082 184,541 553,624

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