λ
Integer Codex

409,715

5 × 81943
Deficient Odd Composite

For 409,715, the 4 positive divisors have a total of 491,664. Removing 409,715 leaves 81,949, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 81943
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 491,664
Proper Divisor Sum 81,949
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #409711 ← → #409723

Radix Representation

Decimal 409715
Binary 1100100000001110011 (19 bits)
Octal 0o1440163
Hexadecimal 0x64073

Divisor Catalog (4)

1 5 81,943 409,715

Collatz Trajectory (174 steps to reach 1)

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

409,715 1,229,146 614,573 1,843,720 921,860 460,930 230,465 691,396 345,698 172,849 518,548 259,274 129,637 388,912 194,456 97,228 48,614 24,307 72,922 36,461 109,384 54,692 27,346 13,673 41,020 20,510 10,255 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436

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