9,863,847

3² × 7² × 22367

Starting at 9,863,847, the Collatz iteration reaches 1 after 207 steps. The first transition is 29591542; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 22367

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 16,574,688

Proper Divisor Sum 6,710,841

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9863837 ← → #9863851

Radix Representation

Decimal	9863847
Binary	100101101000001010100111 (24 bits)
Octal	0o45501247
Hexadecimal	0x9682A7

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 22,367 67,101 156,569 201,303 469,707 1,095,983 1,409,121 3,287,949 9,863,847

Collatz Trajectory (207 steps to reach 1)

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

9,863,847 29,591,542 14,795,771 44,387,314 22,193,657 66,580,972 33,290,486 16,645,243 49,935,730 24,967,865 74,903,596 37,451,798 18,725,899 56,177,698 28,088,849 84,266,548 42,133,274 21,066,637 63,199,912 31,599,956 15,799,978 7,899,989 23,699,968 11,849,984 5,924,992 2,962,496 1,481,248 740,624 370,312 185,156 92,578 46,289 138,868 69,434 34,717 104,152 52,076 26,038 13,019 39,058 19,529 58,588 29,294 14,647 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572

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