9,966,519

3² × 619 × 1789

Starting at 9,966,519, the Collatz iteration reaches 1 after 114 steps. The first transition is 29899558; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 619 × 1789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,427,400

Proper Divisor Sum 4,460,881

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9966511 ← → #9966529

Radix Representation

Decimal	9966519
Binary	100110000001001110110111 (24 bits)
Octal	0o46011667
Hexadecimal	0x9813B7

Divisor Catalog (12)

1 3 9 619 1,789 1,857 5,367 5,571 16,101 1,107,391 3,322,173 9,966,519

Collatz Trajectory (114 steps to reach 1)

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

9,966,519 29,899,558 14,949,779 44,849,338 22,424,669 67,274,008 33,637,004 16,818,502 8,409,251 25,227,754 12,613,877 37,841,632 18,920,816 9,460,408 4,730,204 2,365,102 1,182,551 3,547,654 1,773,827 5,321,482 2,660,741 7,982,224 3,991,112 1,995,556 997,778 498,889 1,496,668 748,334 374,167 1,122,502 561,251 1,683,754 841,877 2,525,632 1,262,816 631,408 315,704 157,852 78,926 39,463 118,390 59,195 177,586 88,793 266,380 133,190 66,595 199,786 99,893 299,680 149,840 74,920 37,460 18,730 9,365 28,096 14,048 7,024 3,512 1,756

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