λ
Prime Ledger

926,005

5 × 43 × 59 × 73
Deficient Odd Composite

926,005 has the prime decomposition 5 × 43 × 59 × 73. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 43 × 59 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,172,160
Proper Divisor Sum 246,155
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #925997 ← → #926017

Radix Representation

Decimal 926005
Binary 11100010000100110101 (20 bits)
Octal 0o3420465
Hexadecimal 0xE2135

Divisor Catalog (16)

1 5 43 59 73 215 295 365 2,537 3,139 4,307 12,685 15,695 21,535 185,201 926,005

Collatz Trajectory (170 steps to reach 1)

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

926,005 2,778,016 1,389,008 694,504 347,252 173,626 86,813 260,440 130,220 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164

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