λ
Matchaa Zalai

401,458

2 × 181 × 1109
Deficient Even Composite

401,458 factors as 2 × 181 × 1109. Its 8 positive divisors give a proper-divisor sum of 204,602, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 181 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 606,060
Proper Divisor Sum 204,602
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #401417 ← → #401473

Radix Representation

Decimal 401458
Binary 1100010000000110010 (19 bits)
Octal 0o1420062
Hexadecimal 0x62032

Divisor Catalog (8)

1 2 181 362 1,109 2,218 200,729 401,458

Collatz Trajectory (117 steps to reach 1)

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

401,458 200,729 602,188 301,094 150,547 451,642 225,821 677,464 338,732 169,366 84,683 254,050 127,025 381,076 190,538 95,269 285,808 142,904 71,452 35,726 17,863 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872 25,436 12,718 6,359 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548

More profiles

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