λ
Prime Ledger

9,136,576

26 × 142759
Deficient Even Composite

9,136,576 has the prime decomposition 2^6 × 142759. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 142759
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 18,130,520
Proper Divisor Sum 8,993,944
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9136573 ← → #9136577

Radix Representation

Decimal 9136576
Binary 100010110110100111000000 (24 bits)
Octal 0o42664700
Hexadecimal 0x8B69C0

Divisor Catalog (14)

1 2 4 8 16 32 64 142,759 285,518 571,036 1,142,072 2,284,144 4,568,288 9,136,576

Collatz Trajectory (225 steps to reach 1)

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

9,136,576 4,568,288 2,284,144 1,142,072 571,036 285,518 142,759 428,278 214,139 642,418 321,209 963,628 481,814 240,907 722,722 361,361 1,084,084 542,042 271,021 813,064 406,532 203,266 101,633 304,900 152,450 76,225 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732

More profiles

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