6,258,819

3 × 7² × 42577

Starting at 6,258,819, the Collatz iteration reaches 1 after 240 steps. The first transition is 18776458; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 42577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,707,784

Proper Divisor Sum 3,448,965

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6258817 ← → #6258821

Radix Representation

Decimal	6258819
Binary	10111111000000010000011 (23 bits)
Octal	0o27700203
Hexadecimal	0x5F8083

Divisor Catalog (12)

1 3 7 21 49 147 42,577 127,731 298,039 894,117 2,086,273 6,258,819

Collatz Trajectory (240 steps to reach 1)

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

6,258,819 18,776,458 9,388,229 28,164,688 14,082,344 7,041,172 3,520,586 1,760,293 5,280,880 2,640,440 1,320,220 660,110 330,055 990,166 495,083 1,485,250 742,625 2,227,876 1,113,938 556,969 1,670,908 835,454 417,727 1,253,182 626,591 1,879,774 939,887 2,819,662 1,409,831 4,229,494 2,114,747 6,344,242 3,172,121 9,516,364 4,758,182 2,379,091 7,137,274 3,568,637 10,705,912 5,352,956 2,676,478 1,338,239 4,014,718 2,007,359 6,022,078 3,011,039 9,033,118 4,516,559 13,549,678 6,774,839 20,324,518 10,162,259 30,486,778 15,243,389 45,730,168 22,865,084 11,432,542 5,716,271 17,148,814 8,574,407

← Previous Integer #6,258,818 Browse Full Index Next Integer #6,258,820 →