409,910

2 × 5 × 179 × 229

409,910 factors as 2 × 5 × 179 × 229. Its 16 positive divisors give a proper-divisor sum of 335,290, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2 × 5 × 179 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 745,200

Proper Divisor Sum 335,290

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #409909 ← → #409933

Radix Representation

Decimal	409910
Binary	1100100000100110110 (19 bits)
Octal	0o1440466
Hexadecimal	0x64136

Divisor Catalog (16)

1 2 5 10 179 229 358 458 895 1,145 1,790 2,290 40,991 81,982 204,955 409,910

Collatz Trajectory (143 steps to reach 1)

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

409,910 204,955 614,866 307,433 922,300 461,150 230,575 691,726 345,863 1,037,590 518,795 1,556,386 778,193 2,334,580 1,167,290 583,645 1,750,936 875,468 437,734 218,867 656,602 328,301 984,904 492,452 246,226 123,113 369,340 184,670 92,335 277,006 138,503 415,510 207,755 623,266 311,633 934,900 467,450 233,725 701,176 350,588 175,294 87,647 262,942 131,471 394,414 197,207 591,622 295,811 887,434 443,717 1,331,152 665,576 332,788 166,394 83,197 249,592 124,796 62,398 31,199 93,598

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