9,147,831

3 × 7 × 11 × 199²

Starting at 9,147,831, the Collatz iteration reaches 1 after 225 steps. The first transition is 27443494; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 199^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,283,584

Proper Divisor Sum 6,135,753

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9147823 ← → #9147833

Radix Representation

Decimal	9147831
Binary	100010111001010110110111 (24 bits)
Octal	0o42712667
Hexadecimal	0x8B95B7

Divisor Catalog (24)

1 3 7 11 21 33 77 199 231 597 1,393 2,189 4,179 6,567 15,323 39,601 45,969 118,803 277,207 435,611 831,621 1,306,833 3,049,277 9,147,831

Collatz Trajectory (225 steps to reach 1)

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

9,147,831 27,443,494 13,721,747 41,165,242 20,582,621 61,747,864 30,873,932 15,436,966 7,718,483 23,155,450 11,577,725 34,733,176 17,366,588 8,683,294 4,341,647 13,024,942 6,512,471 19,537,414 9,768,707 29,306,122 14,653,061 43,959,184 21,979,592 10,989,796 5,494,898 2,747,449 8,242,348 4,121,174 2,060,587 6,181,762 3,090,881 9,272,644 4,636,322 2,318,161 6,954,484 3,477,242 1,738,621 5,215,864 2,607,932 1,303,966 651,983 1,955,950 977,975 2,933,926 1,466,963 4,400,890 2,200,445 6,601,336 3,300,668 1,650,334 825,167 2,475,502 1,237,751 3,713,254 1,856,627 5,569,882 2,784,941 8,354,824 4,177,412 2,088,706

← Previous Integer #9,147,830 Browse Full Index Next Integer #9,147,832 →