λ
Prime Ledger

2,526,285

3 × 5 × 17 × 9907
Deficient Odd Composite

2,526,285 has the prime decomposition 3 × 5 × 17 × 9907. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 9907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,280,256
Proper Divisor Sum 1,753,971
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2526269 ← → #2526289

Radix Representation

Decimal 2526285
Binary 1001101000110001001101 (22 bits)
Octal 0o11506115
Hexadecimal 0x268C4D

Divisor Catalog (16)

1 3 5 15 17 51 85 255 9,907 29,721 49,535 148,605 168,419 505,257 842,095 2,526,285

Collatz Trajectory (205 steps to reach 1)

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

2,526,285 7,578,856 3,789,428 1,894,714 947,357 2,842,072 1,421,036 710,518 355,259 1,065,778 532,889 1,598,668 799,334 399,667 1,199,002 599,501 1,798,504 899,252 449,626 224,813 674,440 337,220 168,610 84,305 252,916 126,458 63,229 189,688 94,844 47,422 23,711 71,134 35,567 106,702 53,351 160,054 80,027 240,082 120,041 360,124 180,062 90,031 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024

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