λ
Prime Ledger

2,225,249

13 × 17 × 10069
Deficient Odd Composite

2,225,249 has the prime decomposition 13 × 17 × 10069. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 10069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,537,640
Proper Divisor Sum 312,391
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2225233 ← → #2225263

Radix Representation

Decimal 2225249
Binary 1000011111010001100001 (22 bits)
Octal 0o10372141
Hexadecimal 0x21F461

Divisor Catalog (8)

1 13 17 221 10,069 130,897 171,173 2,225,249

Collatz Trajectory (86 steps to reach 1)

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

2,225,249 6,675,748 3,337,874 1,668,937 5,006,812 2,503,406 1,251,703 3,755,110 1,877,555 5,632,666 2,816,333 8,449,000 4,224,500 2,112,250 1,056,125 3,168,376 1,584,188 792,094 396,047 1,188,142 594,071 1,782,214 891,107 2,673,322 1,336,661 4,009,984 2,004,992 1,002,496 501,248 250,624 125,312 62,656 31,328 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394

More profiles

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