λ
Sigma Notebook

405,970

2 × 5 × 40597
Deficient Even Composite

405,970 is even and not a perfect square. Its factorization is 2 × 5 × 40597 and its 8 divisors sum to 730,764.

Prime Factor Structure

Factorization String 2 × 5 × 40597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 730,764
Proper Divisor Sum 324,794
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #405967 ← → #405989

Radix Representation

Decimal 405970
Binary 1100011000111010010 (19 bits)
Octal 0o1430722
Hexadecimal 0x631D2

Divisor Catalog (8)

1 2 5 10 40,597 81,194 202,985 405,970

Collatz Trajectory (205 steps to reach 1)

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

405,970 202,985 608,956 304,478 152,239 456,718 228,359 685,078 342,539 1,027,618 513,809 1,541,428 770,714 385,357 1,156,072 578,036 289,018 144,509 433,528 216,764 108,382 54,191 162,574 81,287 243,862 121,931 365,794 182,897 548,692 274,346 137,173 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578

More profiles

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