λ
Prime Ledger

8,515,736

23 × 1064467
Deficient Even Composite

8,515,736 has the prime decomposition 2^3 × 1064467. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1064467
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,967,020
Proper Divisor Sum 7,451,284
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8515723 ← → #8515747

Radix Representation

Decimal 8515736
Binary 100000011111000010011000 (24 bits)
Octal 0o40370230
Hexadecimal 0x81F098

Divisor Catalog (8)

1 2 4 8 1,064,467 2,128,934 4,257,868 8,515,736

Collatz Trajectory (305 steps to reach 1)

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

8,515,736 4,257,868 2,128,934 1,064,467 3,193,402 1,596,701 4,790,104 2,395,052 1,197,526 598,763 1,796,290 898,145 2,694,436 1,347,218 673,609 2,020,828 1,010,414 505,207 1,515,622 757,811 2,273,434 1,136,717 3,410,152 1,705,076 852,538 426,269 1,278,808 639,404 319,702 159,851 479,554 239,777 719,332 359,666 179,833 539,500 269,750 134,875 404,626 202,313 606,940 303,470 151,735 455,206 227,603 682,810 341,405 1,024,216 512,108 256,054 128,027 384,082 192,041 576,124 288,062 144,031 432,094 216,047 648,142 324,071

More profiles

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