λ
Prime Ledger

284,590

2 × 5 × 149 × 191
Deficient Even Composite

284,590 has the prime decomposition 2 × 5 × 149 × 191. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 149 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 518,400
Proper Divisor Sum 233,810
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #284587 ← → #284591

Radix Representation

Decimal 284590
Binary 1000101011110101110 (19 bits)
Octal 0o1053656
Hexadecimal 0x457AE

Divisor Catalog (16)

1 2 5 10 149 191 298 382 745 955 1,490 1,910 28,459 56,918 142,295 284,590

Collatz Trajectory (127 steps to reach 1)

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

284,590 142,295 426,886 213,443 640,330 320,165 960,496 480,248 240,124 120,062 60,031 180,094 90,047 270,142 135,071 405,214 202,607 607,822 303,911 911,734 455,867 1,367,602 683,801 2,051,404 1,025,702 512,851 1,538,554 769,277 2,307,832 1,153,916 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619 2,920,858 1,460,429 4,381,288 2,190,644 1,095,322 547,661 1,642,984 821,492 410,746 205,373 616,120 308,060 154,030 77,015 231,046 115,523 346,570 173,285 519,856 259,928 129,964 64,982

More profiles

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