λ
Prime Ledger

4,266,927

32 × 7 × 89 × 761
Deficient Odd Composite

4,266,927 has the prime decomposition 3^2 × 7 × 89 × 761. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 89 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,132,320
Proper Divisor Sum 2,865,393
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4266907 ← → #4266943

Radix Representation

Decimal 4266927
Binary 10000010001101110101111 (23 bits)
Octal 0o20215657
Hexadecimal 0x411BAF

Divisor Catalog (24)

1 3 7 9 21 63 89 267 623 761 801 1,869 2,283 5,327 5,607 6,849 15,981 47,943 67,729 203,187 474,103 609,561 1,422,309 4,266,927

Collatz Trajectory (379 steps to reach 1)

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

4,266,927 12,800,782 6,400,391 19,201,174 9,600,587 28,801,762 14,400,881 43,202,644 21,601,322 10,800,661 32,401,984 16,200,992 8,100,496 4,050,248 2,025,124 1,012,562 506,281 1,518,844 759,422 379,711 1,139,134 569,567 1,708,702 854,351 2,563,054 1,281,527 3,844,582 1,922,291 5,766,874 2,883,437 8,650,312 4,325,156 2,162,578 1,081,289 3,243,868 1,621,934 810,967 2,432,902 1,216,451 3,649,354 1,824,677 5,474,032 2,737,016 1,368,508 684,254 342,127 1,026,382 513,191 1,539,574 769,787 2,309,362 1,154,681 3,464,044 1,732,022 866,011 2,598,034 1,299,017 3,897,052 1,948,526 974,263

More profiles

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