λ
Prime Ledger

9,662,720

28 × 5 × 7549
Abundant Even Composite

9,662,720 has the prime decomposition 2^8 × 5 × 7549. Its 3 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 5 × 7549
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,148,300
Proper Divisor Sum 13,485,580
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9662711 ← → #9662729

Radix Representation

Decimal 9662720
Binary 100100110111000100000000 (24 bits)
Octal 0o44670400
Hexadecimal 0x937100

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1,280 7,549 15,098 30,196 37,745 60,392 75,490 120,784 150,980 241,568 301,960 483,136 603,920 966,272 1,207,840 1,932,544 2,415,680 4,831,360 9,662,720

Collatz Trajectory (70 steps to reach 1)

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

9,662,720 4,831,360 2,415,680 1,207,840 603,920 301,960 150,980 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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