409,885

5 × 7³ × 239

409,885 factors as 5 × 7^3 × 239. Its 16 positive divisors give a proper-divisor sum of 166,115, so this integer is deficient. The Collatz stopping time is 267 steps.

Prime Factor Structure

Factorization String 5 × 7^3 × 239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 576,000

Proper Divisor Sum 166,115

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #409879 ← → #409889

Radix Representation

Decimal	409885
Binary	1100100000100011101 (19 bits)
Octal	0o1440435
Hexadecimal	0x6411D

Divisor Catalog (16)

1 5 7 35 49 239 245 343 1,195 1,673 1,715 8,365 11,711 58,555 81,977 409,885

Collatz Trajectory (267 steps to reach 1)

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

409,885 1,229,656 614,828 307,414 153,707 461,122 230,561 691,684 345,842 172,921 518,764 259,382 129,691 389,074 194,537 583,612 291,806 145,903 437,710 218,855 656,566 328,283 984,850 492,425 1,477,276 738,638 369,319 1,107,958 553,979 1,661,938 830,969 2,492,908 1,246,454 623,227 1,869,682 934,841 2,804,524 1,402,262 701,131 2,103,394 1,051,697 3,155,092 1,577,546 788,773 2,366,320 1,183,160 591,580 295,790 147,895 443,686 221,843 665,530 332,765 998,296 499,148 249,574 124,787 374,362 187,181 561,544

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