9,855,664

2⁴ × 7² × 13 × 967

9,855,664 is even and not a perfect square. Its factorization is 2^4 × 7^2 × 13 × 967 and its 60 divisors sum to 23,946,384.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 13 × 967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 23,946,384

Proper Divisor Sum 14,090,720

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9855647 ← → #9855689

Radix Representation

Decimal	9855664
Binary	100101100110001010110000 (24 bits)
Octal	0o45461260
Hexadecimal	0x9662B0

Divisor Catalog (60)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 967 1,274 1,456 1,934 2,548 3,868 5,096 6,769 7,736 10,192 12,571 13,538 15,472 25,142 27,076 47,383 50,284 54,152 87,997 94,766 100,568 108,304 175,994 189,532 201,136 351,988 379,064 615,979 703,976 758,128 1,231,958 1,407,952 2,463,916 4,927,832 9,855,664

Collatz Trajectory (57 steps to reach 1)

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

9,855,664 4,927,832 2,463,916 1,231,958 615,979 1,847,938 923,969 2,771,908 1,385,954 692,977 2,078,932 1,039,466 519,733 1,559,200 779,600 389,800 194,900 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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