4,089,627

3² × 41 × 11083

Starting at 4,089,627, the Collatz iteration reaches 1 after 190 steps. The first transition is 12268882; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 41 × 11083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,051,864

Proper Divisor Sum 1,962,237

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4089619 ← → #4089643

Radix Representation

Decimal	4089627
Binary	1111100110011100011011 (22 bits)
Octal	0o17463433
Hexadecimal	0x3E671B

Divisor Catalog (12)

1 3 9 41 123 369 11,083 33,249 99,747 454,403 1,363,209 4,089,627

Collatz Trajectory (190 steps to reach 1)

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

4,089,627 12,268,882 6,134,441 18,403,324 9,201,662 4,600,831 13,802,494 6,901,247 20,703,742 10,351,871 31,055,614 15,527,807 46,583,422 23,291,711 69,875,134 34,937,567 104,812,702 52,406,351 157,219,054 78,609,527 235,828,582 117,914,291 353,742,874 176,871,437 530,614,312 265,307,156 132,653,578 66,326,789 198,980,368 99,490,184 49,745,092 24,872,546 12,436,273 37,308,820 18,654,410 9,327,205 27,981,616 13,990,808 6,995,404 3,497,702 1,748,851 5,246,554 2,623,277 7,869,832 3,934,916 1,967,458 983,729 2,951,188 1,475,594 737,797 2,213,392 1,106,696 553,348 276,674 138,337 415,012 207,506 103,753 311,260 155,630

← Previous Integer #4,089,626 Browse Full Index Next Integer #4,089,628 →