9,140,319

3² × 31 × 181²

Starting at 9,140,319, the Collatz iteration reaches 1 after 256 steps. The first transition is 27420958; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 181^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,704,288

Proper Divisor Sum 4,563,969

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9140303 ← → #9140321

Radix Representation

Decimal	9140319
Binary	100010110111100001011111 (24 bits)
Octal	0o42674137
Hexadecimal	0x8B785F

Divisor Catalog (18)

1 3 9 31 93 181 279 543 1,629 5,611 16,833 32,761 50,499 98,283 294,849 1,015,591 3,046,773 9,140,319

Collatz Trajectory (256 steps to reach 1)

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

9,140,319 27,420,958 13,710,479 41,131,438 20,565,719 61,697,158 30,848,579 92,545,738 46,272,869 138,818,608 69,409,304 34,704,652 17,352,326 8,676,163 26,028,490 13,014,245 39,042,736 19,521,368 9,760,684 4,880,342 2,440,171 7,320,514 3,660,257 10,980,772 5,490,386 2,745,193 8,235,580 4,117,790 2,058,895 6,176,686 3,088,343 9,265,030 4,632,515 13,897,546 6,948,773 20,846,320 10,423,160 5,211,580 2,605,790 1,302,895 3,908,686 1,954,343 5,863,030 2,931,515 8,794,546 4,397,273 13,191,820 6,595,910 3,297,955 9,893,866 4,946,933 14,840,800 7,420,400 3,710,200 1,855,100 927,550 463,775 1,391,326 695,663 2,086,990

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